Q15. - Algebra 1

Question

Find each quotient.

$\left(4x^{\mathrm{2}}-8x+5\right)÷\left(2x+1\right)$

Step-by-Step Solution

Answer

$\mathbf{2}\mathit{x}\mathbf{-}\mathbf{5}$

Step 1. Write as a fraction.

Write the given quotient as a fraction.

$\frac{4x^2-8x+5}{2x+1}$

Step 2. Factor.

Factor the numerator of the given quotient.

$\frac{\left(2x-5\right)\left(2x+1\right)}{\left(2x+1\right)}$

Step 3. Divide common factors.

Divide out common factors from the above-obtained expression.

$2x-5$

The solution of the given quotient is $2x-5$.