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

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.

Answer 2

Answer with explanation:

 The two polynomial in fraction is:

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

Answer=2 x-8