Question

HELP PLEASE! DUE TMR! Answer whichever ones you want and i can try to deal with the rest. I just have alot of work and need extra help
1) what are the roots of p(x)=64 - x^3


2)What are the solutions of x^3 (x^2 + 8x - 20)


3) find the zeros to the polynomial x^3 - 3x^2 - 10x


4) create an equation with the following roots: -4 , 4 , -3 , 2/5 (fraction)


5) create an equation with the following roots: ± 2i , -7 , 1


6) find all the zeros on the following polynomial: 2x^3 - 11x^2 - 16x + 105

Given zero: 5

Answer 1

Answers

1) 4

2) 0, 2, -10

3) 0, 5, -2

Step-by-step explanation:

1) x³ - 64 = 0

x³ = 64

x = 4

2) x³(x² + 8x - 20) = 0

x³(x² + 10x - 2x - 20) = 0

x³(x(x + 10) - 2(x + 10)) = 0

x³(x + 10)(x - 2) = 0

x = 0, 2, -10

3) x³ - 3x² - 10x = 0

x(x² - 3x - 10) = 0

x(x² - 5x + 2x - 10) = 0

x(x(x - 5) + 2(x - 5)) = 0

x(x - 5)(x + 2) = 0

x = 0, 5, -2