SOLUTION: Find the real zeros of each polynomial function by factoring. The number in parentheses to the right of each polynomial indicates the number of real zeros of the given polynomial f

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the real zeros of each polynomial function by factoring. The number in parentheses to the right of each polynomial indicates the number of real zeros of the given polynomial f      Log On


   

Question 1201435: Find the real zeros of each polynomial function by factoring. The number in parentheses to the right of each polynomial indicates the number of real zeros of the given polynomial function. (Enter your answers as a comma-separated list.)
P(x) = x5 − 17x3 + 16x (5)
x =

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

x5-17x3+16x=0

⇒x5-17x3+16x=0

⇒x(x4-17x2+16)=0

⇒x(x4-x2-16x2+16)=0

⇒x(x2(x2-1)-16(x2-1))=0

⇒x(x2-1)(x2-16)=0

x(x+1)(x-1)(x2-4)=0

x(x+1)(x-1)(x+2)(x-2)=0

x=0or(x-1)=0or(x+1)=0or(x-4)=0or(x+4)=0