Question

The sum of two binomials is 12×^-5x. If one of the binomials is x^-2x, the other binomial is

Answer 1

11x² - 3x

Explanation:

Here's one way to do it. Write the two polynomials with corresponding powers of x under each other and subtract.

12x² - 5x

-(x² - 2x)

Distribute the -1 and add.

12x² - 5x

-x² + 2x

11x² - 3x

Check:

x² - 2x

+(11x² - 3x)

12x² - 5x

OK.