Question

question 9 of 10
how many different roots does the polynomial function,
y = (x + 4)(x - 2)²(x + 7) have?

a. 1
b. 4
c. 3
d. 2

Explanation:

Step1: Find roots from factors

Set each factor to zero: $x+4=0$ → $x=-4$; $(x-2)^2=0$ → $x=2$; $x+7=0$ → $x=-7$.

Step2: Count distinct roots

Distinct roots are $-4, 2, -7$ → 3 roots.

Answer:

C. 3