Question

will give brainliest.

Answer 1

Correct answer: C

The expression accounts for all x intercepts:

at -2, -1, 1, and 2 as they correspond to (in order):

(x+2)(x+1)(x-1)(x-2)

The "similar" choice is B but it has a zero at x=0 which is not matching the graph.

Answer 2

C

given the zeros of a polynomial, say

x = a and x = b then the factors are (x - a ) and (x - b)

the polynomial is then the product of the factors

y = a(x - a )(x - b ) ← a is a multiplier

here the zeros are x = - 2, x = - 1, x = 1 and x = 2, hence the factors are

(x + 2), (x + 1 ), (x - 1 ) and (x - 2 )

y = (x - 1)(x - 2)(x + 1)(x + 2 ) ← polynomial function