Question

consider the polynomial $8x^3 + 2x^2 - 20x - 5$. factor by grouping to write the polynomial in factored form. drag each expression to the correct location on the solution. not all expressions will be used. $8x^3 + 2x^2 - 20x - 5$ $(8x^3 + 2x^2) + (\quad)$ $2x^2 (\quad) + (\quad)(4x + 1)$ $(\quad)(4x + 1)$ $4x + 1$ $-5$ $2x^2 - 5$ $2x^2 + 5$ $5$ $4x - 1$ $-20x - 5$

Explanation:

Step1: Group the polynomial terms

$(8x^3 + 2x^2) + (-20x - 5)$

Step2: Factor out GCF from each group

$2x^2(4x + 1) + (-5)(4x + 1)$

Step3: Factor out common binomial

$(2x^2 - 5)(4x + 1)$

Answer:

1. $(8x^3 + 2x^2) + \boldsymbol{-20x - 5}$
2. $2x^2(\boldsymbol{4x + 1}) + (\boldsymbol{-5})(4x + 1)$
3. $(\boldsymbol{2x^2 - 5})(4x + 1)$