Question

How do you factor completely `4x^4+36x^3+56x^2`?

Answer 1

4x^2(x + 2)(x + 7)

Explanation:

y = 4x^2 (x^2 + 9x + 14)
Factor the trinomial in parentheses.
Find 2 numbers knowing sum (b = 9) and product (c = 14). They are:
2 and 7.
y = 4x^2(x + 2)(x + 7)