# Factor 42y^2+35y+7

42y2+35y+7
Factor 7 out of 42y2+35y+7.
Factor 7 out of 42y2.
7(6y2)+35y+7
Factor 7 out of 35y.
7(6y2)+7(5y)+7
Factor 7 out of 7.
7(6y2)+7(5y)+7(1)
Factor 7 out of 7(6y2)+7(5y).
7(6y2+5y)+7(1)
Factor 7 out of 7(6y2+5y)+7(1).
7(6y2+5y+1)
7(6y2+5y+1)
Factor.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅1=6 and whose sum is b=5.
Factor 5 out of 5y.
7(6y2+5(y)+1)
Rewrite 5 as 2 plus 3
7(6y2+(2+3)y+1)
Apply the distributive property.
7(6y2+2y+3y+1)
7(6y2+2y+3y+1)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
7((6y2+2y)+3y+1)
Factor out the greatest common factor (GCF) from each group.
7(2y(3y+1)+1(3y+1))
7(2y(3y+1)+1(3y+1))
Factor the polynomial by factoring out the greatest common factor, 3y+1.
7((3y+1)(2y+1))
7((3y+1)(2y+1))
Remove unnecessary parentheses.
7(3y+1)(2y+1)
7(3y+1)(2y+1)
Factor 42y^2+35y+7

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