Question

Divide using long division. Formula1" title="(2x^{3} +5x^{2} -7x+6)" alt="(2x^{3} +5x^{2} -7x+6)" align="absmiddle" class="latex-formula"> ÷ $(x^{2} +3x-4)$

Answer 1

Answer:

The quotient = 2x - 1 and the remainder = 4x + 2

Step-by-step explanation:

$\frac{2x^{3}+5x^{2}-7x+6}{x^{2}+3x-4}=2x+\frac{-x^{2}+x+6}{x^{2}+3x-4}$

$\frac{-x^{2}+x+6 }{x^{2}+3x-4}=-1+\frac{4x+2}{x^{2}+3x-4}$

The quotient = 2x - 1 and the remainder = 4x + 2