Factor 8c^2-22c+5

Math
8c2-22c+5
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=8⋅5=40 and whose sum is b=-22.
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Factor -22 out of -22c.
8c2-22(c)+5
Rewrite -22 as -2 plus -20
8c2+(-2-20)c+5
Apply the distributive property.
8c2-2c-20c+5
8c2-2c-20c+5
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(8c2-2c)-20c+5
Factor out the greatest common factor (GCF) from each group.
2c(4c-1)-5(4c-1)
2c(4c-1)-5(4c-1)
Factor the polynomial by factoring out the greatest common factor, 4c-1.
(4c-1)(2c-5)
Factor 8c^2-22c+5

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