Question

Multiply (x^2+4x+2) (2x^2+3x-4)

Answer 1

Answer: B

Explanation:

(x^2+4x+2) (2x^2+3x-4)

= x^2 (2x^2+3x-4) + 4x (2x^2+3x-4) +

2 (2x^2+3x-4)

= 2x^4 + 3x3 - 4x^2 + 8x^3 + 12x^2 - 16x + 4x^2 + 6x - 8

= 2x^4 + 11x^3 + 12x^2 - 10x - 8

Answer 2

(x² + 4x + 2)(2x² + 3x - 4) equals 2x⁴ + 11x³ + 12x² - 10x - 8

Explanation:

(x² + 4x + 2)(2x² + 3x - 4)

Multiply each term in the first parentheses into the expression in the second parentheses.

2x⁴ + 3x³ - 4x² + 8x³ + 12x² - 16x + 4x² + 6x - 8

Combine like terms.

2x⁴ + 11x³ + 12x² - 10x - 8

So, your answer would be letter choice B.