help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Help:) Factor F(x) = 4x^3+ 23x^2- 70x + 16 Into Linear Factors Given That - 8 Is A Zero Of F(x).

Answers

Answer 1

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

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

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 


Related Questions

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □​

Answers

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

Set function equal to 0:                    0 = -5x² - 125Factor out -5:                                     0 = -5(x² + 25)Divide both sides by -5:                    0 = x² + 25Subtract 25 on both sides:               -25 = x²Rewrite:                                              x² = -25Square root both sides:                     x = ±√-25Rewrite:                                              x = √-1 · ±√25Evaluate:                                             x = ±5i

rewrite the function f(x)=4(x-1)^2-2 in the form f(x)=ax^2+bx+c

Answers

Answer:

f(x) = 4x² - 8x + 2

General Formulas and Concepts:

Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = 4(x - 1)² - 2

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = 4(x² - 2x + 1) - 2Distribute 4:                                      f(x) = 4x² - 8x + 4 - 2Combine like terms (constants):     f(x) = 4x² - 8x + 2

how many eights are there in three and a quater​

Answers

6 .. hope that answers ur question :)

What's the answer to this on Zearn??

Answers

Answer:

The answer is

4/12 - 3/12

Step-by-step explanation:

Answer:

4/12 - 3/12

Step-by-step explanation:

Find the product
(3x+4y)(x+y)

Answers

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

3x^2 + 7xy + 4y^2 I believe

What is the square route for pie

Answers

Answer:

approximately 1.77

So if you want to precisely express its value, you should say “the square root of pi” (or “root pi”). But it's approximately 1.77. In reality, Pi is an unending, never repeating decimal, which means it is an irrational number. Here are the first digits: 3.1415926535897932384626433832795.

7k( − k + 6) pls help

Answers

Answer:

-7k^2+42k

LOL thats what i got

k
2
+
42
k hope this helps !!

Simplify (3√-5 +2)(4√-12 -1)
Thank you in advance
Full steps so I can understand!

Answers

Answer:

12√60 - 3√-5 + 8√-24  -2

Step-by-step explanation:

Use the distributive property

Multiply each by the other term outside their parantheses

for example multiply 3√-5 by 4√-12 and 3√-5 by -1.

Answer:

28

4

=

2

7

2

7

14

7

14

7

Explanation:

28

is the same as

2

×

14

witch in turn is the same as

2

2

×

7

Write as

7

2

2

×

7

Taking the

2

2

'outside' the square root changes it from

2

2

to

2

7

2

2

×

7

=

7

×

2

×

7

14

7

Step-by-step explanation:

{ vowels in the word ALGEBRA}​

Answers

Answer:

2As and 1E

Step-by-step explanation:

Please mark as brainliest

what is the slope of (-7,-10) and (-5,-4)

Answers

Answer:

3

Step-by-step explanation:

6/2=3

Answer:

slope is 3

Step-by-step explanation:

Slope means rise/run

so its y2 - y1

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

x2 - x1

-4 - (-10)

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

-5 - (-7)

6/2 = 3

joe wants to purchase a new pair of basketball shoes that are on sale at two different stores. store a has the sale at 20% off. the original price on the shoes is $85.95 and has a sales tax of 8.7%. store b has the shoes on sale at 25% off the original price on the shoes is $93.95 and has a sales tax of 8.5%

Answers

Answer:

What is the question?

Step-by-step explanation:

9. A student received a 75% on an exam. If there were 20 questions on the exam,
which ratio would show the number of questions answered correctly to the total
number of questions?
Microsoft
Edge
O A. 20:5
O B. 20:15
O C. 15:20
Zoom
O D. 5:20

Answers

Answer:

The answer is C. 15:20

Step-by-step explanation:

hope that helps

Answer:

B

Step-by-step explanation:

Step 1: Take 20 and multiply by 0.75 to get the number of answers that were correct, which is 15.

Step 2: Put the number of correct questions and the total number of questions into a ratio form, 20:15

If you have 1.43 squares in your living room, how many triangles can you fit into each square? Is there a circle in each rectangle?

Answers

Answer:

2

Step-by-step explanation:

What is bigger 1.40 or 1.42

Answers

Answer:

1.42

Step-by-step explanation:

The school band has saved $3,600 for their field trip, and this is 60% of their trip. What is the total cost of the field trip?
$.4000

Answers

Answer:$6,000

Step-by-step explanation:

18 is more than a m wirtten

Answers

Answer:

I don't understand your question

an integer divided from an integer is an integer

Answers

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

what is 3/7 divieded by 6 in a fraction

Answers

Answer: is 1/14
Explanation:

Jane ate 2 1/2 guavas and jack ate 1 1/4 guavas.
How many guavas in all were eaten?

1. What is asked in the problem?

Answers

The problem asks how many guavas were eaten in total.

Answer:

3 3/4 guavas were eaten

The problem asked how many guavas were eaten in total

Which of these businesses is a partnership? A. the Lin and Ching families' Chinese restaurant B. Karton's furniture-manufacturing business C. Jane Larson's gift shop

Answers

Answer:

A

Step-by-step explanation:

''The Lin and Ching families' Chinese restaurant'' is a partnership businesses.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

In a partnership businesses, two peoples are include.

Hence, By given options,

Option A is true, because it contain two name of peoples

So, The Lin and Ching families' Chinese restaurant is a partnership businesses.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

For the function f(x)=−10x+266−−−−−−−−−√3, find f(5).

Answers

Answer:

899078949

Step-by-step explanation:

What are rules for transformations and how do they work

Answers

Answer:

f (x) + b shifts the function b units upward.

f (x) – b shifts the function b units downward.

f (x + b) shifts the function b units to the left.

f (x – b) shifts the function b units to the right.

–f (x) reflects the function in the x-axis (that is, upside-down).

Step-by-step explanation:

Mark Brainlyest PleAse

Myra is cooking meat the double number line shows that he needs 12 hours too cook 5 kilograms of meat how long does myron need to cook 3 kilograms of meat​

Answers

Answer : 7.2 hours

Step by Step Explanation: 12 divided by five equals 2.4

2.4 times 3 equals 7.2

Which one is better? Knight or bishop? Why? (Chess).

Answers

Answer:

knight

Step-by-step explanation:

because he is a knight

Gary's garage has 12 liters of motor oil. Gary pours equal amounts of oil into 3 trucks. How many liters of oil did Gary pour into each truck?

Answers

Answer:

4

Step-by-step explanation: 12 divided by 3 equals 4

Answer:

4 liters

Step-by-step explanation:

12 divided by 3 is 4

Write a quadratic function in standard form with zeros 3 and -5

Answers

Answer:

[tex]x^{2} +2x-15 = 0[/tex]

Step-by-step explanation:

x = 3 and x = -5

(x - 3) = 0 and (x + 5) = 0

(x - 3) * (x + 5) = 0

[tex]x^{2} + 5x - 3x - 3*5 = 0\\x^{2} +2x-15 = 0[/tex]

A dime (0.10) is what percent of a dollar (1.00)?

Answers

10%.
1.00 / 0.10 = 10

Answer:

10%

Step-by-step explanation:

The left and right page numbers of an open book are two constructive integers whose sum is 427. Find these page numbers

Answers

Answer:

n + (n + 1)= 427

2n + 1 = 427

2n = 427

= 213

Step-by-step explanation:

3) In a study of 600 community college students, 200 of them indicated that they are part-time students. What percent of the students are part-time students?​

Answers

Answer: 33.3333333...%

Step-by-step explanation: 200/600=1/3

                                            1/3 =33.3333333...%

The coordinates of point A on a grid are (−3, −2). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are ( , −2)

Answers

Answer:

Point B = ( 3 , -2)

Step-by-step explanation:

Flip across y axis means change x from negative to positive (or positive to negative)

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