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
GaryK [48]
3 years ago
11

F(x)=15x³+22x²-15x+2 Write f(x) as a product of linear factors.

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

Answer:

(5x  - 1)(3x - 1)(x + 2)

Step-by-step explanation:

(15 {x}^{3}  + 22 {x}^{2}  - 15x + 2)

Apply Rational Root Theorem, our possible roots will be

plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).

I

I tried root -2 and it work so

If we apply synthetic dividon, we would be left with

15 {x}^{2}  - 8x + 1

We can factor this regularly.

Apply AC method that a number

AC will multiply to 15 but add to -8.

The answer are -5 and -3 so we write this as

15 {x}^{2}  - 5x - 3x + 1

Factor by grouping

(15x {}^{2}  - 5x) - (3x + 1)

5x(3x - 1) - 1(3x - 1)

So our factor are

(5x - 1)(3x - 1)(x + 2)

You might be interested in
Chloe works for an estate agent.
Lunna [17]

Answer:

£24,980

Step-by-step explanation:

total pay = monthly salary + percent of annual profit + £250 bonus

monthly salary = £1,850

annual salary = 12 × £1,850 = £22,200

agency income = £356,000

agency costs = £280,000

annual profit = income - costs = £356,000 - £280,000 = £76,000

percent of annual profit = 3% × £76,000 = 0.03 × £76,000 = £2,280

£250 bonus = 2 × £250 = £500

total pay = monthly salary + percent of annual profit + £250 bonus

total pay = £22,200 + £2,280 + £500

total pay = £24,980

7 0
2 years ago
What is the slope of the line represented by the equation y = – 2/3- 5x?
saveliy_v [14]
-5 i think.....................
4 0
3 years ago
Read 2 more answers
Haruka hiked several kilometers in the morning. She only hiked 6 kilometers in the afternoon, which was 25 percent less she had
Allisa [31]
6km is 3/4 of her morning speed so 6/(3/4)=6×4/3=8km. Total distance=6+8=14km.
5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=7%20%7Bx%7D%5E%7B3%7D%20%20%2B%204x%20-%205%20%2B%208%20%7Bx%7D%5E%7B5%7D%20" id="TexFormula1"
elixir [45]

Answer:

D

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of a term within the polynomial.

Given

7x³ + 4x - 5 + 8x^{5}

The term with the largest exponent is 8x^{5} with exponent 5

Thus the polynomial is of degree 5 → D

3 0
3 years ago
Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls
natita [175]

Answer:

Y= -6x + 1

Step-by-step explanation:

Y=mx + b

M is your slope

B is your y intercept

5 0
3 years ago
Other questions:
  • We solving a system of equations Jerry found out why equals X PlayStation for one equation is said to express team for why in th
    9·2 answers
  • Emily volunteered at an animal shelter for a total of 119 hours over 6 weeks. Estimate the number of hours she volunteered each
    9·1 answer
  • The volume of a cylinder is 500pi cm. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?
    10·1 answer
  • brett is paid 18.95 per hour with time and a half overtime what will his gross pay be for a pay period in which he worked 42 hou
    6·1 answer
  • Why is the median unaffected by an outlier?
    5·1 answer
  • 65.656<br> 36,699<br> 33.335<br> +66,668
    7·1 answer
  • How to solve -222=5x-3(-7y-4)
    6·1 answer
  • For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6*5*4*3
    9·1 answer
  • Help me i need this homework for today pls my peeps
    7·2 answers
  • Please help me asap​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!