Find the zeros of the polynomial function and state the multiplicity of each.

f (x) = 5 (x + 7) ^2 (x - 7) ^3

Hello,

f (x) has - 7 as root with as multiplicity of 2

f (x) has + 7 as root with as multiplicity of 3

We are asked to determine the zeros of the polynomial function f (x) = 5 (x + 7) ^2 (x - 7) ^3, The zeros are determined by equating the function to zero. In this case, the function can be dissected into 5 * (x + 7) ^2 * (x-7) ^3. Hence the zeros are those numbers that make the quantity inside the parenthesis equal to zero. The zeros are - 7 and + 7