Question

Select ALL the correct answers. Select all the expressions that are equivalent to the polynomial below. (4x+5)(-3x-1)

A. (-16x2 + 10x - 3) + (4x2 - 29x - 2)
B. 3(x - 5) - 2(6x2 + 9x + 5)
C. 2(x - 1) - 3(4x2 + 7x + 1)
D. (2x2 - 11x - 9) - (14x2 + 8x - 4)
E. (-15x2 + 9x - 10) + (3x2 - 10x - 5)
F. (4x2 - 13x - 7) - (16x2 + 9x - 5)

Answer 1

The answers are:
A. (-16x²+10x-3)+(4x²-29x-2)
C. 2(x-1)-3(4x²+7x+1)
D. (2x²-11x-9)-(14x²+8x-4)
The explanation is shown below:
1- When you apply the distributive property to the polynomial (4x+5)(-3x-1), you obtain the following form:
-12x²-19x-5
2- If you apply the same property to the polynomials shown in the options above and add the terms with equal exponents, you will obtain that the polynomials that has the same form are:
A. (-16x²+10x-3)+(4x²-29x-2):
-16x²+10x-3+4x²-29x-2
-12x²-19x-5
C. 2(x-1)-3(4x²+7x+1)
2x-2-12x²-21x-3
-12x²-19x-5
D. (2x²-11x-9)-(14x²+8x-4)
2x²-11x-9-14x²-8x+4
-12x²-19x-5