# How do you factor #y=2x^4+21x^3+49x^2 #?

##### 2 Answers

Apr 12, 2016

#### Explanation:

First identify the factor common to all the terms which is

Thus

The bracketed term can then be factored as

Apr 12, 2016

#### Explanation:

Factor f(x) by the systematic new AC Method (Socratic Search)

Converted trinomial:

p' and q' have same sign because ac > 0.

Factor pairs of (ac = 98) --> (2, 49)(7, 14). This sum is 21 = b.

Then, p' = 7 and q' = 14.

Back to f(x) --> 3p = (p')/a = 7/2