Factor 7m^2+19m+10

Math
7m2+19m+10
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=7⋅10=70 and whose sum is b=19.
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Factor 19 out of 19m.
7m2+19(m)+10
Rewrite 19 as 5 plus 14
7m2+(5+14)m+10
Apply the distributive property.
7m2+5m+14m+10
7m2+5m+14m+10
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(7m2+5m)+14m+10
Factor out the greatest common factor (GCF) from each group.
m(7m+5)+2(7m+5)
m(7m+5)+2(7m+5)
Factor the polynomial by factoring out the greatest common factor, 7m+5.
(7m+5)(m+2)
Factor 7m^2+19m+10

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