Question

Select ALL the correct answers.

Select all the expressions that are equivalent to the polynomial below.

-15x^2 - 29x - 12






-2(4x − 15) − 3(5x2 + 7x + 6)

-2(7x + 1) − 5(3x2 + 3x + 2)

(5x2 − 10x + 8) − (10x2 + 19x + 20)

(-7x2 − 21x + 13) − (8x2 + 8x + 25)

(-19x2 − 4x - 7) + (4x2 + 25x − 5)

(-17x2 + 2x − 3) + (2x2 − 31x − 9)

Answer 1

Explanation:

-2 (4x -15) -3 (5x^2 +7x +6 ) = -15x^2 -29x-12

-2 (7x +1 ) -5 (3x^2 +3x +3) = -15x^2 -29x -12

(-7x^2 -21x + 13) -(8x^2+8x+25) = -15x^2 -29x -12

(-17x^2+2x-3)+(2x^2-31x-9) = -15x^2- 29x -12

Answer 2

b

d

f

Explanation:

`-15x^2 - 29x - 12`

`a. -2(4x - 15) - 3(5x2 + 7x + 6)`

`-2(4x - 15) - 3(5x^2 + 7x + 6)\\\\-8x+30-15x^2-21x-18\\\\-15x^2-29x+12`

wrong

`b.-2(7x + 1) - 5(3x^22 + 3x + 2)`

`-2(7x + 1) - 5(3x^2 + 3x + 2)\\\\-14x-2-15x^2-15x-10\\\\-15x^2-29x-12`

true

`c.\ 1(5x^2 - 10x + 8) - 1(10x^2 + 19x + 20)\\\\5x^2-10x+8-10x^2-19x-20\\\\-5x^2-29x-12`

wrong

`d. \ 1(-7x^2 - 21x + 13) -1 (8x^2 + 8x + 25)\\\\-7x^2-21x+13-8x^2-8x-25\\\\-15x^2-29x-12`

true

`e. \ 1(-19x^2 - 4x - 7) + 1(4x^2 + 25x - 5)\\\\-19x^2-4x-7+4x^2+25x-5\\\\-15x^2+21x-12`

wrong

`f.\ 1(-17x^2 + 2x - 3) +1 (2x^2 - 31x - 9)\\\\-17x^2+2x-3+2x^2-31x-9\\\\-15x^2-29x-12`

true

Hope this helps!