Factor 7z^2+17z+10

Math
7z2+17z+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=17.
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Factor 17 out of 17z.
7z2+17(z)+10
Rewrite 17 as 7 plus 10
7z2+(7+10)z+10
Apply the distributive property.
7z2+7z+10z+10
7z2+7z+10z+10
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(7z2+7z)+10z+10
Factor out the greatest common factor (GCF) from each group.
7z(z+1)+10(z+1)
7z(z+1)+10(z+1)
Factor the polynomial by factoring out the greatest common factor, z+1.
(z+1)(7z+10)
Factor 7z^2+17z+10

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