Suppose the roots of a polynomial are 3 /4 , − 7 /8 , − 3 /8 , and − 1/ 9 . which choice is a factor of the polynomial?

Given roots of the polynomial are 3/4, -7/8, -3/8 and -1/9

that means graph crosses the x-axis at those x-values

hence we can write:

x=3/4, x=-7/8, x=-3/8 and x=-1/9

To cancel out denominator move denominator to the left side so we get:

4x=3, 8x=-7, 8x=-3 and 9x=-1

move every term on left side

4x-3=0, 8x+7=0, 8x+3=0 and 9x+1=0

(4x-3)(8x+7)(8x+3)(9x+1)=0  (using zero product property)

Hence required factor of the polynomial will be (4x-3)(8x+7)(8x+3)(9x+1).

Hence any choice that matches with (4x-3)(8x+7)(8x+3)(9x+1) will be the answer.

answer: options

step-by-step explanation: