Question

Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18

Answer 1

Answer:

D

Step-by-step explanation:

We want to find:

$(x^2+2x-3)(4x^2-5x+6)$

Distribute:

$=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)$

Distribute:

$=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)$

Rearrange:

$=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)$

Combine like terms:

$=4x^4+3x^3-16x^2+27x-18$

The answer is D.