# Factor 30x^3+117x^2+42x 30×3+117×2+42x
Factor 3x out of 30×3+117×2+42x.
Factor 3x out of 30×3.
3x(10×2)+117×2+42x
Factor 3x out of 117×2.
3x(10×2)+3x(39x)+42x
Factor 3x out of 42x.
3x(10×2)+3x(39x)+3x(14)
Factor 3x out of 3x(10×2)+3x(39x).
3x(10×2+39x)+3x(14)
Factor 3x out of 3x(10×2+39x)+3x(14).
3x(10×2+39x+14)
3x(10×2+39x+14)
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=10⋅14=140 and whose sum is b=39.
Factor 39 out of 39x.
3x(10×2+39(x)+14)
Rewrite 39 as 4 plus 35
3x(10×2+(4+35)x+14)
Apply the distributive property.
3x(10×2+4x+35x+14)
3x(10×2+4x+35x+14)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
3x((10×2+4x)+35x+14)
Factor out the greatest common factor (GCF) from each group.
3x(2x(5x+2)+7(5x+2))
3x(2x(5x+2)+7(5x+2))
Factor the polynomial by factoring out the greatest common factor, 5x+2.
3x((5x+2)(2x+7))
3x((5x+2)(2x+7))
Remove unnecessary parentheses.
3x(5x+2)(2x+7)
3x(5x+2)(2x+7)
Factor 30x^3+117x^2+42x     