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

f(x) = 5(x + 7)2(x - 7)³

-7, multiplicity 2; 7, multiplicity 3

Explanation:

Explanation:-

Given function f(x) = 5(x + 7)2(x - 7)³ =0

⇒ (x + 7)2(x - 7)³ =0

⇒ x = -7 and x =7 multiplicity '3'

-7, multiplicity 2; 7, multiplicity 3