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.
Accepted Solution
A:
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)