Question

Factor the polynomial x^4 + 6x^2 - 7. Your answer can be written as (x+A)(x+B)(x^2+C) with integers A, B, C, and A < B.

A = ?
B = ?
C = ?

Answer 1

x^4 + 6x^2 - 7
=x^4 + 7x^2 - x^2- 7
=x^2(x^2+7) -1(x^2 + 7)
=(x^2-1)(x^2+7)
=(x-1)(x+1)(x^2+7)

A<B
A=-1
B=1
C=7