SOLUTION: Factor by grouping 4x^4+5x^3+16x^2+20x

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Question 189941: Factor by grouping
4x^4+5x^3+16x^2+20x

Answer by cutepiscean5(19) About Me  (Show Source):
You can put this solution on YOUR website!
we are given the expression:
+4x%5E4%2B5x%5E3%2B16x%5E2%2B20x+
we group the first two term together and the last two terms together and find out the common factors of each.
we have:
+%284x%5E4%2B5x%5E3%29%2B+%2816x%5E2%2B20x%29+
+x%5E3+%284x%2B5%29%2B+4x%284x%2B5%29+
=> +%28x%5E3+%2B+4x%29%284x%2B5%29
we can again take out x as common from x^3 + 4x.
=> +x%28x%5E2+%2B+4%29%284x%2B5%29+
so thats our answer.