Factor 2z^2-21z+10

Math
2z2-21z+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=2⋅10=20 and whose sum is b=-21.
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Factor -21 out of -21z.
2z2-21(z)+10
Rewrite -21 as -1 plus -20
2z2+(-1-20)z+10
Apply the distributive property.
2z2-1z-20z+10
2z2-1z-20z+10
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2z2-1z)-20z+10
Factor out the greatest common factor (GCF) from each group.
z(2z-1)-10(2z-1)
z(2z-1)-10(2z-1)
Factor the polynomial by factoring out the greatest common factor, 2z-1.
(2z-1)(z-10)
Factor 2z^2-21z+10

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