Question

practice factoring polynomials by double grouping. factor (20x^2 + 25x - 12x - 15) by grouping. 1. group terms with common factors. ((20x^2 - 12x)+(25x - 15)) 2. factor the gcf from each group. (4x(5x - 3)+5(5x - 3)) 3. write the polynomial as a product of binomials. ((5x - 3)(square x+square))

Explanation:

Step1: Identify grouped GCF terms

From step 2, we have $4x(5x - 3) + 5(5x - 3)$

Step2: Factor out shared binomial

Extract $(5x-3)$, collect remaining terms: $(5x-3)(4x + 5)$

Answer:

The blanks are filled with 4 and 5, so the fully factored form is $\boldsymbol{(5x - 3)(4x + 5)}$