SOLUTION: Please help with factoring the polynomial 4x^7+4x^5+x^4+x^2.

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Question 61961: Please help with factoring the polynomial 4x^7+4x^5+x^4+x^2.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial
4x%5E7%2B4x%5E5%2Bx%5E4%2Bx%5E2 First factor the gcf, x^2
x%5E2%2A%284x%5E5%2B4x%5E3%2Bx%5E2%2B1%29 Now group the first 2 terms and the last two terms.
x%5E2%28%284x%5E5%2B4x%5E3%29%2B%28x%5E2%2B1%29%29 Factor the GCF from each group.
x%5E2%284x%5E3%28x%5E2%2B1%29%2B1%28x%5E2%2B1%29%29 They both have a x^2+1, factor it out.
x%5E2%28x%5E2%2B1%29%284x%5E3%2B1%29
Happy Calculating!!!