Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
f(x) = 4x + 11x2 - 104x + 105 = |
(Factor completely.)

Factor F(x) = 4x2 + 11x? - 104x + 105 Into Linear Factors Given That 7 Is A Zero Of F(x).f(x) = 4x +

Answers

Answer 1

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  


Related Questions

Please help quick will give brainliest!

Answers

Answer:

The function's behavior close to the vertical asymptote, x = 2 is;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

Step-by-step explanation:

From the graph of the function. we have;

1) As 'x' approaches 2 from the left (x → 2⁻), the graph with 'u' shape located in the middle of the three graphs, approaches infinity (arrow pointing up)

2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)

Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

Select the correct answer.
Which equation shows function g in factored form?

[tex]g(x)=2x^2-6x-56[/tex]

A.
g(x) = 2(x2 − 3x − 28)
B.
g(x) = 2(x − 4)(x + 7)
C.
g(x) = (2x + 7)(x − 8)
D.
g(x) = 2(x + 4)(x − 7)

Answers

Answer:

The answer is A.

[tex]g(x) = 2( {x}^{2} - 3x - 28)[/tex]

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Write −(1/4⋅1/4⋅1/4⋅1/4) using exponents.

Answers

Answer:

-(1/4)^4

Step-by-step explanation:

Hope it helped!!!

(p^2 )^5
find the product

Answers

Answer:

p^10

Step-by-step explanation:

when they're set up like that you multiple thw exponents to get what the new one would be ao 5 * 2 = 10.

Answer:

[tex]{( {p}^{2} ) }^{5} = {p}^{2 \times 5} \\ = {p}^{10} [/tex]

What is raw materials? With an example. ​

Answers

Unprocessed material ,, like steel, oil, Gasoline etc
Raw materials are the basic materials from which a product is made. For example metal, rock, clay, or wood. Hope that helps!

what is the inequality of -5x + 19 ≥ 9

Answers

Answer:

x<=2

Step-by-step explanation:

-5x+19>=9

-5x>=9-19

-5x>=-10

5x>=10

x>=10/5

x>=2

x<=2

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Answers

Answer:

last one? if not i tried

Step-by-step explanation:

The perimeter of a rectangular field is 242 m . If the length of the field is 66 m, what is its width?

Answers

Answer: 55
66+66+55+55=242

Angela can paint 3 sections in 25 minutes.
How many minutes will it take Angela to
paint 12 sections?

Answers

Answer:

Análisis del problema

Nos dan como datos el tiempo que se tarda cada uno en pintar la habitación:

Gerardo: 3 horas

Ángel: 6 horas

La velocidad de trabajo podemos definirla como dada por la cantidad de habitaciones que pueden pintar sobre el tiempo: H/t

Gerardo: 1 hab /3h

Ángel: 1 hab / 6h

Sumamos ambas velocidades de trabajo:

Por lo tanto entre los dos pintarían una habitación en dos horas.

13.
Find the slope of the line.

A. -7

B. 1/7

C. -1/7

D. 7

Answers

Answer:

[tex]\displaystyle m=\frac{1}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 2)

Point (5, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{3-2}{5+2}[/tex][Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{1}{7}[/tex]

What is the operation used in 3r?
-subtraction
-addition
-multiplication
-division

Answers

Answer:

Multiplication

Step-by-step explanation:

3r means 3 times R. We don't write it just like we don't write 1.0 for 1 or 1.000... A number in front of a variable means that number times that variable.

Hope this helps! <3

-Question 4
Jen weighs 100 pounds, Jack weighs 120 pounds, and Billy weighs 80 pounds. What is their average weight?

Answers

Answer:

100 pounds

Step-by-step explanation:

To find their average weight, add all of their weights together then divide it by 3

(100 + 120 + 80) / 3

300 / 3

= 100

So, their average weight is 100 pounds

100 + 120 + 80 = 300

300/3 = 100

What is the height and area of the polygon?

Answers

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line  from top right vertex perpendicular to the  bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

What is the value of so that −10and 10are both solutions of 2−=70

Answers

Answer:I think 7

Step-by-step explanation:

The space that sand fills varies directly with its mass. If 2,400 kg of sand fill 1.5 cubic meters, how much sand is needed to fill 2.25 cubic meters? PLEASE I REALLY NEED HELP!

Answers

Answer:

3,600 kg

Step-by-step explanation:

2,400÷6=400

400×3=1200

2,400+1,200= 3,600 kg

Find q. q 4 cm 30° 60° Write your answer in simplest radical form. centimeters

Answers

I need a picture to actually solve this. Can u post it?

Answer the photo below thanks

Answers

Answer:

x=50

Step-by-step explanation:

65+65=130

180-130=50

Answer:

50 is the answer

Step-by-step explanation:

this is a isosceles triangle having 65 and 65

then 65 + 65 + x = 180 property of traingle

130 + x = 180

x = 180- 130 = 50

5. Skylar has pool toys shaped like a sphere
with a radius of 2 inches. The toys fill with
water, and she has 12 toys total. How many
cubic inches of water would it take to fill all 12
toys with water?
ring the Middle LLC, 20

Answers

Answer:

128π or 402.12

Step-by-step explanation:

Vol of a sphere = 4/3πr³

Sub 2 into ^

Multiply by 12 to find vol of all 12 shapes

This is the volume of water needed

the sum of 8 and B is greater than 22

Answers

Given:

The sum of 8 and B is greater than 22.

To find:

The inequality for the given statement and its solution.

Solution:

We know that, sum of two number is the addition of two numbers.

Sum of 8 and B = 8+B

It is given that, the sum of 8 and B is greater than 22.

[tex]8+B>22[/tex]

Subtracting 8 from both sides, we get

[tex]8+B-8>22-8[/tex]

[tex]B>14[/tex]

Therefore, the required inequality for the given statement is [tex]8+B>22[/tex] and the solution is [tex]B>14[/tex].

In rectangle PQRS, SP = 3 and RS = 4. What is the length of PR? (Hint: use
the Pythagorean theorem to solve for the diagonal) *

Answers

The answer is B). 5.

Both triangles share the same hypotenuse, PR, so you can use the lengths of the legs of the other triangle to find the answer.
4^2 + 3^2 = x^2
25 = x^2
The square root of 25 is 5, so that’s the answer.

X + 35 = 5 so X + ?

Answers

Answer:

x = -30

-30 + 35 = 5

Step-by-step explanation:

AVALIAÇÃO DIAGNÓSTICA
Resolva os problemas abaixo
1) O quilo do feijão que custava R$ 3,90 teve um aumento de 70% Oual é o novo preço do quilo do
feijão?
2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentual
de aumento do aluguel dessa casa​

Answers

Answer:

hhhsyeuru isuegrjro ehgeurov didyrhy

what is the measure of EGF?​

Answers

Answer:

i think c

Step-by-step explanation:

Answer:

B)  40.18°

Step-by-step explanation:

since it's a right triangle and you know values for opposite and hypotenuse you can use:

sin x = 12/18.6

this comes out to be 40.18°

(1.5 x 10^6) x (1.2 x 10²)
What’s the answer

Answers

Answer:

(1.5×1.2)×(10^(6+2))

(1.80×10^8)

Answer:

1.8 x 10^8 or

180000000

Step-by-step explanation:

1.5 x 1.2 = 1.8

^6 + ^ 2= 10

1.8 x 10 ^ 8

Help quickly!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

option D

Step-by-step explanation:

the value of x = 68

plz mark my answer as brainlist plzzzz .

hope this will be helpful to you .

Answer:

x=68

Step-by-step explanation:

22+x=90 90-22/68

x=68

math is on the world. I need some ride until you want it owww ye brainly

Answers

Answer:

what

Step-by-step explanation:

Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6

Answers

Step-by-step explanation:

step 1. m = 2.

step 2. for a linear equation the average rate of change between any points is the slope m.

What is 12 * 54 plus 88 ?

Answers

Answer: 736

Step-by-step explanation: Hope that helps!!!!

Happy valentines day and have a great day!

Write the integers in order from greatest to least. 11, 9, -9, -6

Answers

Answer:

11, 9, -6, -9

Step-by-step explanation:

Hope that helps

Sorry :( if it is wrong

If we use a number line

Eg below

12 11 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12

Visual of what it would look like from greatest to least

Answer:

11, 9, -6, -9

Step-by-step explanation:

11 is the largest number listed and -9 is the smallest number listed and 9 and -6 are in between them and 9 is bigger than -6

How many pounds are equal to 400 ounces

Answers

Answer: 25 pounds

Step-by-step explanation:

1 pound = 16 oz

400 oz / 16 oz = 25 pounds

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

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