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.

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 factorization Final result : (5x - 3) • (4x + 5)