Question

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

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

-7, multiplicity 2; 7, multiplicity 3

4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3

-7, multiplicity 3; 7, multiplicity 2

4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1

Answer 1

is the equation 5(x+7)^2 * (x-7)^3?
if so, then the zeros are -7/5 with a 2 multiplicity and 7 with 3 multiplicity

Answer 2

the "multiplicity" is the exponent of each factor
so if \((x-a)^n\) is a factor, then \(a\) is a zero with multiplicty \(n\)

Answer 3

Thanks guys!