David performed the following mathematical operation:
2x+3
x+3)2x² + 9x +9
he was left with a remainder of zero. which of the following statements must
be true?

answer: -3 must be a root of the polynomial + 9x + 9

step-by-step explanation:

if -3 is a root of the polynomial , if we substitute -3 for x in the polynomial , the answer must be zero.

+ 9x + 9

substituting -3 for x , we have

2() + 9 ( -3 ) + 9

2(9) - 27 + 9

18 - 27 + 9

18+9 - 27

27 - 27 = 0

therefore -3 is a root of the polynomial

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet