Question

(-9x² + 11x +2) x (8x² + 6x -7)

Answer 1

To multiply the two polynomials, we can use the distributive property and multiply each term in the first polynomial by each term in the second polynomial. Then we can combine like terms and simplify the resulting expression. The calculations are as follows:

(-9x² + 11x + 2) x (8x² + 6x - 7)
= -9x²(8x² + 6x - 7) + 11x(8x² + 6x - 7) + 2(8x² + 6x - 7) [distribute the first polynomial]
= -72x⁴ - 54x³ + 63x² + 88x³ + 66x² - 77x + 16x² + 12x - 14 [multiply out each term]
= -72x⁴ + 34x³ + 95x² - 65x - 14 [combine like terms and simplify]

Therefore, (-9x² + 11x + 2) x (8x² + 6x - 7) = -72x⁴ + 34x³ + 95x² - 65x - 14

Answer 2

-72x^4 + 34x^3 + 145x^2 - 65x - 14

Explanation:

(-9x² + 11x +2) x (8x² + 6x -7)

= -72x^4 - 54x^3 + 63x^2 + 88x^3 + 66x^2 - 77x + 16x^2 + 12x - 14

= -72x^4 + 34x^3 + 145x^2 - 65x - 14

So, the answer is -72x^4 + 34x^3 + 145x^2 - 65x - 14