1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wel
3 years ago
8

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

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

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)

 

You might be interested in
There are 9 more pencils then pens in a container. There are 25 writing utensils in the container in all. How many pens are ther
VashaNatasha [74]
In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:

let x the number of pencils
    y the number of pens

From the statement, 9 more pencils then pens in a container,

x = y + 9

From the statement, there are 25 writing utensils in the container in all,

x + y = 25

We use substitution method to calculate for x and y,

y + 9 + y = 25
2y = 16
y = 8
x = 17

Therefore, there are 8 pens in the container and 17 pencils.
3 0
3 years ago
Damon has five dimes and some nickels in his pocket, worth of a total of $1.20. To find the number of nickels Damon has a, stude
Agata [3.3K]
The answer to the equation should be in cents whereas it is in dollars which would be incorrect 
6 0
3 years ago
Gordon pours 4/9 quarts of milk from a pitcher equally into 4 mugs.
nikklg [1K]
A. each mug will be 1/9 because 4/9 divide by 4 is 1/9
b 3/9 or 1/3 because 1/9 times 3 is 3/9
~ JZ 
7 0
3 years ago
Read 2 more answers
Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Ad
Tanzania [10]

Answer: The answer is √6 mi.

The formula is: d = √(3h/2)

Pam:

h = 324 ft

d = √(3 * 324/2) = √486 = √(81 * 6) = √81 * √6 = 9√6 mi

Adam:

h = 400 ft

d = √(3 * 400/2) = √600 = √(100 * 6) = √100 * √6 = 10√6 mi

How much farther can Adam see to the horizon?

Adam - Pam = 10√6 - 9√6 = √6 mi

6 0
3 years ago
Read 2 more answers
Find the value of x.
Artemon [7]
I believe it is 83 because a straight line is 180 degrees
6 0
3 years ago
Other questions:
  • Simplify 30/5 *SHOW WORK PLEASE
    7·2 answers
  • Bella is planning to write in a journal. Some pages will have one journal entry on them, and other pages will have two journal e
    15·2 answers
  • Check all of the possible first steps in factoring a polynomial with four terms. A.factor out a GCF
    6·2 answers
  • What is the product of these binomials?<br><br> (x-8)(x+3)
    12·2 answers
  • Solve for x:
    15·1 answer
  • Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sel
    12·1 answer
  • For the polyhedron, use Euler's Formula to find the missing number.
    14·1 answer
  • If sinø=3/5 then tanø=?
    10·1 answer
  • 5. Find the surface area of the prism.
    6·1 answer
  • What is the value of t in 3(8+t)=25.50
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!