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

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

Hello,

f(x) has -7 as root with as multiplicity of 2
f(x) has +7 as root with as multiplicity of 3