How many roots does the polynomial function have

y = (x+4) (x-2) ^2 (x+7)

a. 1

b. 2

c. 3

d.

The roots of a polynomial are the values that render the polynomial to zero

y = (x+4) (x-2) ^2 (x+7)

in the 1st parenthesis, x=-4 render the polynomial = 0

in the 2nd parenthesis, x=2 render the polynomial = 0

in the 3rd parenthesis, x=-7 render the polynomial = 0

So there are 3 values as roots of this polynomial (answer C)