Factor 10b^2-58b-84

Math
10b2-58b-84
Factor 2 out of 10b2-58b-84.
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Factor 2 out of 10b2.
2(5b2)-58b-84
Factor 2 out of -58b.
2(5b2)+2(-29b)-84
Factor 2 out of -84.
2(5b2)+2(-29b)+2(-42)
Factor 2 out of 2(5b2)+2(-29b).
2(5b2-29b)+2(-42)
Factor 2 out of 2(5b2-29b)+2(-42).
2(5b2-29b-42)
2(5b2-29b-42)
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=5⋅-42=-210 and whose sum is b=-29.
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Factor -29 out of -29b.
2(5b2-29(b)-42)
Rewrite -29 as 6 plus -35
2(5b2+(6-35)b-42)
Apply the distributive property.
2(5b2+6b-35b-42)
2(5b2+6b-35b-42)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
2((5b2+6b)-35b-42)
Factor out the greatest common factor (GCF) from each group.
2(b(5b+6)-7(5b+6))
2(b(5b+6)-7(5b+6))
Factor the polynomial by factoring out the greatest common factor, 5b+6.
2((5b+6)(b-7))
2((5b+6)(b-7))
Remove unnecessary parentheses.
2(5b+6)(b-7)
2(5b+6)(b-7)
Factor 10b^2-58b-84

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