Factor 9z^2-21z+10

Math
9z2-21z+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=9⋅10=90 and whose sum is b=-21.
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Factor -21 out of -21z.
9z2-21(z)+10
Rewrite -21 as -6 plus -15
9z2+(-6-15)z+10
Apply the distributive property.
9z2-6z-15z+10
9z2-6z-15z+10
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(9z2-6z)-15z+10
Factor out the greatest common factor (GCF) from each group.
3z(3z-2)-5(3z-2)
3z(3z-2)-5(3z-2)
Factor the polynomial by factoring out the greatest common factor, 3z-2.
(3z-2)(3z-5)
Factor 9z^2-21z+10

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