Question

Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. (4x^2 - 10x -24) (2x + 3)

Answer 1

Answer with explanation:

The two polynomial in fraction is:

`=(4x^2-10x-24)/(2x+3)\\\\=(4x^2-16x+6 x -24)/(2x+3)\\\\=(4 x * (x-4)+6 * (x-4))/(2 x+3)\\\\=((4 x+6)(x-4))/(2 x+3)\\\\=(2*(2 x+3)(x-4))/(2x+3)\\\\\text{Cancelling (2x+3) from numerator and denominator}\\\\=2 * (x-4)\\\\=2 x-8`

Answer=2 x-8

Answer 2

By synthetic division, the quotient (4x^2 -10x -24)/(2x +3) is 2x -8.

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You have not actually said what division you want performed.