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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

answer: i believe the answer is e

step-by-step explanation: