SOLUTION: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x^2(2x + 3)^2 x = ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x^2(2x + 3)^2 x = ?      Log On


   



Question 625971: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

P(x) = x^2(2x + 3)^2
x = ?

Answer by lwsshak3(11628) About Me  (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%28x%29+=+x%5E2%282x+%2B+3%29%5E2
**
P(x) = x^2(2x + 3)^2=0
x^2=0
x=0 (multiplicity 2)
(2x+3)^2=0
2x+3=0
x=-3/2 (multiplicity 2)
ans:
zeros are: 0, 0, -3/2, -3/2