Factor -35a^2-29a-6

Math
-35a2-29a-6
Factor -1 out of -35a2-29a-6.
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Factor -1 out of -35a2.
-(35a2)-29a-6
Factor -1 out of -29a.
-(35a2)-(29a)-6
Rewrite -6 as -1(6).
-(35a2)-(29a)-1(6)
Factor -1 out of -(35a2)-(29a).
-(35a2+29a)-1(6)
Factor -1 out of -(35a2+29a)-1(6).
-(35a2+29a+6)
-(35a2+29a+6)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=35⋅6=210 and whose sum is b=29.
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Factor 29 out of 29a.
-(35a2+29(a)+6)
Rewrite 29 as 14 plus 15
-(35a2+(14+15)a+6)
Apply the distributive property.
-(35a2+14a+15a+6)
-(35a2+14a+15a+6)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
-((35a2+14a)+15a+6)
Factor out the greatest common factor (GCF) from each group.
-(7a(5a+2)+3(5a+2))
-(7a(5a+2)+3(5a+2))
Factor the polynomial by factoring out the greatest common factor, 5a+2.
-((5a+2)(7a+3))
-((5a+2)(7a+3))
Remove unnecessary parentheses.
-(5a+2)(7a+3)
-(5a+2)(7a+3)
Factor -35a^2-29a-6

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