Question

Factor 2x^2+15x+25. Rewrite the trinomial with the x-term expanded,using the two factors. Then, group the first two and last two terms together and find the GCF of each.

Answer 1

`[x + 5][2x+ 5]`

Explanation:

Given

`2x^2 + 15x + 25`

Required

Factorize

Expand the x term

`2x^2 + 5x + 10x+ 25`

Group into 2

`[2x^2 + 5x] + [10x+ 25]`

Take the GCF of each group

`x[2x + 5] + 5[2x+ 5]`

Factor out 2x + 5

`[x + 5][2x+ 5]`