SOLUTION: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = (x &#8722; 4)^2(x + 6) x = ?

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Question 625970: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = (x − 4)^2(x + 6)
x = ?
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = (x−4)^2*(x+6)
=(x^2-8x+16)(x+6)
=x^3-8x^2+16x+6x^2-48x+96
=x^3-2x^2-32x+96
solve by rational roots theorem
...0...|....1.......-2.......-32.......96
...1...|....1.......-1.......-33...... 63
...2...|....1........0........-32.......32
...3...|....1........1........-29.......9
...4...|....1........2........-24.......0 (4 is a zero)
P(x)=(x-4)(x^2+2x-24)=(x-4)(x+6)(x-4)
zeros are: -6, 4,4

SOLUTION: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = (x &#8722; 4)^2(x + 6) x = ?

SOLUTION: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = (x − 4)^2(x + 6) x = ?