Completely factor the polynomial.
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You can do this by grouping as follows:
(5x3 + 35x2) + (5x + 35) Grouping.
5x2(x + 7) + 5(x+7) Factoring each part by use of the distributive property.
(5x2 + 5)(x + 7) Factoring further.
5(x2 + 1)(x + 7) You can pull out a 5.