Question

Factor the polynomial 4x^4-20x^2-3x^2+15 by grouping. what is the resulting expression?
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Answer 1

(4x^2-3)(x^2-5)

Explanation:

We are going to group the first two and last two terms and find the GCF of each set.

4x^4-20x^2-3x^2+15

(4x^4-20x^2)(-3x^2+15)

4x^2(x^2-5)-3(x^2-5)

Then we group the GFCs together and the rest

(4x^2-3)(x^2-5)