# Factor -2v^2-11v-15

-2v2-11v-15
Factor -1 out of -2v2-11v-15.
Factor -1 out of -2v2.
-(2v2)-11v-15
Factor -1 out of -11v.
-(2v2)-(11v)-15
Rewrite -15 as -1(15).
-(2v2)-(11v)-1(15)
Factor -1 out of -(2v2)-(11v).
-(2v2+11v)-1(15)
Factor -1 out of -(2v2+11v)-1(15).
-(2v2+11v+15)
-(2v2+11v+15)
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=2⋅15=30 and whose sum is b=11.
Factor 11 out of 11v.
-(2v2+11(v)+15)
Rewrite 11 as 5 plus 6
-(2v2+(5+6)v+15)
Apply the distributive property.
-(2v2+5v+6v+15)
-(2v2+5v+6v+15)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
-((2v2+5v)+6v+15)
Factor out the greatest common factor (GCF) from each group.
-(v(2v+5)+3(2v+5))
-(v(2v+5)+3(2v+5))
Factor the polynomial by factoring out the greatest common factor, 2v+5.
-((2v+5)(v+3))
-((2v+5)(v+3))
Remove unnecessary parentheses.
-(2v+5)(v+3)
-(2v+5)(v+3)
Factor -2v^2-11v-15

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