SOLUTION: Given that the polynomial function has the give zero, find the other zeros. f(x)=x^3-64; 4

Algebra ->  Functions -> SOLUTION: Given that the polynomial function has the give zero, find the other zeros. f(x)=x^3-64; 4      Log On


   

Question 137603: Given that the polynomial function has the give zero, find the other zeros.
f(x)=x^3-64; 4
Answer by solver91311(24713) About Me  (Show Source):
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4 is a root of x%5E3-64=0 if and only if x-4 is a factor of x%5E3-64. So, use polynomial long division to divide x%5E3%2B0x%5E2%2B0x-64 by x-4. The quotient will be a quadratic polynomial. Find the zeros of the quotient polynomial and you will have your other two zeros of the original function.