Question

Factor 20x2 + 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials.

Answer 1

(5x - 3) • (4x + 5)

Explanation:

Answer 2

Step 1:

(((22•5x2) + 25x) - 12x) - 15)))


The first term is, 20x2 its coefficient is 20 .
The middle term is, +13x its coefficient is 13 .
The last term, "the constant", is -15




step 2 above, -12 and 25
20x2 - 12x + 25x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (5x-3)
Add up the last 2 terms, pulling out common factors :
5 • (5x-3)
Step-5 : Add up the four terms of step 4 :
(4x+5) • (5x-3)
Which is the desired factorizationFinal result : (5x - 3) • (4x + 5)