Factor 15y^2+29yz-14z^2

Math
15y2+29yz-14z2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=15⋅-14=-210 and whose sum is b=29.
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Reorder terms.
15y2-14z2+29yz
Reorder -14z2 and 29yz.
15y2+29yz-14z2
Factor 29 out of 29yz.
15y2+29(yz)-14z2
Rewrite 29 as -6 plus 35
15y2+(-6+35)(yz)-14z2
Apply the distributive property.
15y2-6(yz)+35(yz)-14z2
Remove unnecessary parentheses.
15y2-6yz+35(yz)-14z2
Remove unnecessary parentheses.
15y2-6yz+35yz-14z2
15y2-6yz+35yz-14z2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(15y2-6yz)+35yz-14z2
Factor out the greatest common factor (GCF) from each group.
3y(5y-2z)+7z(5y-2z)
3y(5y-2z)+7z(5y-2z)
Factor the polynomial by factoring out the greatest common factor, 5y-2z.
(5y-2z)(3y+7z)
Factor 15y^2+29yz-14z^2

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