Question

HELP !!! Place the indicated product in the proper location on the grid. Write your answer in descending powers of x. (x 2 + 2x - 1)(x 2 + 2x + 5)

Answer 1

The answer to your question is: x⁴ + 4x³ + 8x² + 8x - 5

Explanation:

(x² + 2x - 1)(x² + 2x + 5) = x⁴ + 2x³ + 5x² + 2x³ + 4x² + 10x - x² - 2x - 5

= x⁴ + 4x³ + 8x² + 8x - 5

Answer 2

x^4 + 4x^3 + 8x^2 + 8x -5

Explanation:

To make the product of two polynomials, simply apply the distributive property of multiplication, as follows:

(x^2 + 2x - 1)*(x^2 + 2x + 5)

x^2*x^2 + x^2*2x + x^2*5 + 2x*x^2 + 2x*2x + 2x*5 - 1*x^2 - 1*2x - 1*5

x^4 + 2x^3 + 5x^2 + 2x^3 + 4x^2 + 10x - x^2 - 2x - 5

x^4 + 4x^3 + 8x^2 + 8x -5