How do you find the roots of a polynomial using the fundamental theorem of algebra?

Answers

Answer 1

Set each component to 0 and solve for x to discover the roots, or solutions, of the polynomial equation P(x) = 0. Factor the polynomial equation to find the solution. Set each factor to 0. 2x4 = 0 or (x - 6) = 0 or (x + 1) = 0 Determine x.

What is algebra?

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.

Here,

By setting each component to 0 and solving for x, you may obtain the roots, or solutions, of the polynomial equation P(x) = 0. Factor the polynomial equation to solve it. Set each component to zero. 2x4 = 0, (x - 6) = 0, and (x + 1) = 0. Calculate x.

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Related Questions

Heidi is driving 200 miles. She has finished 80% of the drive. How many miles is 80% of Heidi's drive.

Answers

Answer:

160 miles

Step-by-step explanation:

200 * 0.8 is 160

Answer:

160 miles

Step-by-step explanation:

80/100*200

80*2

160

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

please help me if you can pleasee

Answers

Answer:

248/6

Step-by-step explanation:

as if wala po talaga akong alam dyan

12 cm
8 cm
5 cm
5 cm
17 cm
26. The area of the composite figure above is_cm-square.
1 point
Your answer​

Answers

12 cm..........................

3(x+4/9)-1/2(x+ 1/3)=5/6
PLEASE HELP

Answers

Answer:

x=-2/15

Step-by-step explanation:

x=-2/15 !!!!!!!!!!!!!!!!!!!!!!!!!!

A store sells a box of breakfast cereal for $3. Write an equation to relate the number of boxes b to total sales T.

Answers

Answer:

b = T / $3

T = $3b

Step-by-step explanation:

Given that:

Cost per box of cereal = $3

Total amount from sale of cereal = T

Number of boxes sold = b

Number of boxes sold = (Total amount from sale of cereal / cost per box)

Number of boxes (b) = T / $3

T = $3b

5. Ronnie needs to earn more than $460 every month so he can save enough to go on vacation at the end
of the year. He is paid $9.50 per hour and a monthly bonus of $60. Write an inequality that represents
this situation, where h represents the number of hours that Ronnie needs to work in a month to earn
more than $460 and meet his goal.
What would be the minimum number of hours, rounded to the nearest whole, that Ronnie would have
to work?
A. 40 hours
B. 41 hours
C. 42 hours
D. 43 hours

Answers

9.5h+60>460
D: 43 hours
D: 43 hoursssssssssss

YOU HAVE 8 LITTERS OF JUICE FOR YOUR PARTY. EACH GLASS HOLDS 1/5 LITTER OF JUICE.

HOW MANY GLASSES CAN YOU FILL WITH THE JUICE?

SOLVE AND EXPLAIN

Answers

Answer:

40

Step-by-step explanation:

1/5 as a decimal is 0.2

8/0.2 = 40

Hope this helps!!

Answer:

A

Step-by-step explanation:

There are 4 red balls in a bag and an unknown number of white balls. If we randomly
choose a ball from the bag, the probability of getting a white ball is larger than the
probability of getting a red ball. What might be the number of white balls in the bag?

Answers

Step-by-step explanation:

well if there were 5 white the probability is 5/9 vs 4/9 for red. so the number of white balls is anything greater than or equal to 5

I need help with my home work pls

Answers

Ooh feel bath for you, sorry I can’t help I’m in 5th grade

Round 1.4876 to the nearest TENTHS

Answers

Answer:

You should get 1.5

Step-by-step explanation:

The answer is 1.5 ..........

solve for b
ցb – m = 9

Answers

Answer:

I couldn't write it since I don't have the format, but it is attached.

i need to know the volume and an explanation plz?!??

Answers

Answer:

V ≈ 471.2 in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius of the base and h is the height )

Here diameter = 10, so r = 10 ÷ 2 = 5 and h = 6, then

V = π × 5² × 6 = π × 25 × 6 = 150π in³ ← exact value

V ≈ 471.2 in³ ( to 1 dec. place )

can someone help me with these 2 answersss

Answers

Answer:

1. -12

2. 8

Step-by-step explanation:

We are given two equations, both with meanings of variables, making my job a little bit easier wink wink.

Let's start with 5x + 3 when x = -3

Substitute :

5(-3) + 3

-15 + 3

-12

Onto the next :

2x - 4 if x = 6

2(6) - 4

12 - 4

8

5 cups equals how many pints and cups

Answers

Answer:

5 cups is 2.5 pts

Step-by-step explanation:

cups pts

5.00 2.5

5.01        2.505

5.02 2.51

5.03 2.515

help asap pleaseeee (if u do ily)))

Answers

Answer:

B) 120

Step-by-step explanation:

180 - 60 = 120

Hope that helps!

Answer:

B. 120

Step-by-step explanation:

its bigger than 90 so i did process of elimination

can someone pls help me i don’t get this

Answers

V = 60 as the triangle is looking like a equilateral triangle

Answer:

60 degrees

Step-by-step explanation:

This triangle looks like an equilateral triangle and the angle-indicating curvy lines are acute, so it should be 60 degrees.

Hope that helps!

A rectangular prism has a base that measures 5 centimeters by 3 centimeters and a height of 2 centimeters. Cameron fills the prism with image centimeter cubes. Which of the following statements is TRUE?

A.
The rectangular prism will have a perimeter of 32 centimeters along the base.

B.
Cameron will use a total of 120 cubes to fill the rectangular prism.

C.
Cameron will use 60 cubes on the bottom layer.

D.
There will be 2 layers of cubes in the rectangular prism.


Exhibits

Answers

Answer:

56

Step-by-step explanation:

56 took test on edge

Help me put this in order please help thanks

Answers

1. 8
2. 15
3. 2
4. 1/2
5. 3
those are the answers in order, hope this helps!

Templates
+
7.49 x 108
How
many
times should
the decimal pt?
X
I move

Answers

Answer:

maalesef bulamadım ben

whoever answers this question first gets brainly

Answers

Answer: B

Step-by-step explanation:

9.62112750.....

area = πr²

3.5 ÷ 2 = 1.75

1.75² × π = 9.6211250....

= 9.6 ft²

What number needs to be subtracted from both sides of the equation 40 = 25 + x in order to isolate the variable and solve for x?

Answers

Answer:

x = 15

Step-by-step explanation:

As given, the equation 40 = 25 + x

As on the R.H.S of the equation, there is one constant and a variable x

As to isolate the variable we have to subtract the same constant so that that constant gives 0.

As we have the constant value 25

So, subtract 25 from both side of the equation, we get

40 - 25 = 25 + x - 25

⇒15 = x

∴ we get

x = 15

what are the values of AB and DE in parallelogram ABCD?

Answers

Answer:

AB equals 13 and DE equals 7.

Step-by-step explanation:

In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.

The solution is

The value of AB of the parallelogram is 13

The value of DE of the parallelogram is 7

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

The value of side CD = 13

The value of side BC = 23

The value of side AE = 16

AD = AE + ED

And , Opposite sides are parallel in a parallelogram

Now , the value of side AB = CD

So , the value of side AB = 13

And , The value of side BC = AD

So , the value of AD = 23

AD = AE + ED

Substituting the values in the equation , we get

23 = 16 + DE

Subtracting 16 on both sides of the equation , we get

DE = 23 - 16

The value of side DE = 7

Hence , the value of side AB = 13 and value of side DE = 7

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Your email inbox is 88% full. If you have 3168 emails in your inbox, then how many emails can your inbox hold?

Answers

Answer:

432 more emails

Step-by-step explanation:

I) Find decimal of remaining inbox:

88% = 0.88

1 - 0.88 = 0.12

II) Find TOTAL capacity of inbox emails:

3168 / 0.88 = 3600

III) Find remaining capacity of emails:

3600 x 0.12 = 432 more emails

An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.

Answers

The answer to your question is 0.25 p

What's the answer pleaseewwww

Answers

Answer:

(B)

Step-by-step explanation:

You are welcome and can you please give me brainliest

Which expression below has the same value as 9⁶ ?

9 • 6

96

9 • 9 • 9 • 9 • 9 • 9

6 • 6 • 6 • 6 • 6 • 6 • 6 • 6 • 6

Answers

Answer:

9 • 9 • 9 • 9 • 9 • 9

Step-by-step explanation:

Given data

Value= 9⁶

The equivalent to the above expression is the dot product of

9*9*9*9*9*9

Hence the correct option is the third option

Answer:

9 to the sixth power is just 9 multipled by itself over and over again... 9*9*9*9*9*9

Step-by-step explanation:

Solve for x. (Enter your answers as a comma-separated list.)

Answers

Answer:

x=1

Step-by-step explanation:

The value of x is 1 for the given determinant.

The determinant is defined as a scalar value that is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by |X| or det (X).

Given a determinant value equal to zero,

To calculate the value of x,

Firstly, calculate the determinant as follows and equate it to zero:

[tex]1(3 \times-2-(-4\times3))-x(1 \times-2-3 \times0)+2(1\times-4-0\times3)=0\\\\[/tex]

[tex]1(-6+12)-x(-2)+2(-4)=0\\\\[/tex]

[tex]6+2x-8=0\\[/tex]

Solve like terms together and try to separate variable on LHS, so that it becomes easy to calculate the value of it.

Thus, the value of x is 1.

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what is the y value when x=-1?

what is the y value when x=0?

what is the y value when x=-1?

Answers

Answer:

2

0

-2

Step-by-step explanation:

sub x into formula

-2(-1)=2

-2(0)=0

-2(1)=-2

Answer:

60

Step-by-step explanation:

A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.

What is the value of y when the value of x is 1?

Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay

Answers

Answer:

q122a

Step-by-step explanation:

victor poured 5 1/2 cups of water in to a bucket how much more must he add to get 8 3/4

Answers

Just subtract my guy
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While the substance changes from a solid to a liquid at the asme temperature of 30 degrees C.a) How much heat did the water lose while the substance melted?b) What is the heat of the fusion of the substance that melted?c) If the substance has a molar mass of 16.35 g/mol, calculate the kilojuoles required to melt 3.28 mol of the substance