Question

What is the completely factored form of this polynomial? x^4 + 12x^2 + 32

Answer 1

We can factor this polynomial using a method known as substitution. We can let y = x^2, which gives us:

y^2 + 12y + 32

This quadratic polynomial can be factored as follows:

(y + 4)(y + 8)

Substituting back y = x^2, we get:

(x^2 + 4)(x^2 + 8)

Therefore, the completely factored form of the polynomial x^4 + 12x^2 + 32 is:

(x^2 + 4)(x^2 + 8)

Answer 2

(x^2+8)(x^2+4)

Explanation:

x^4 + 12x^2 + 32

We want to factor. What 2 numbers multiply to 32 and add to 12.

4*8 =32

4+8 = 12

(x^2+8)(x^2+4)