Factor 8x^2-78x+19 - MathMaster

8×2-78x+19

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⋅19=152 and whose sum is b=-78.

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Factor -78 out of -78x.

8×2-78(x)+19

Rewrite -78 as -2 plus -76

8×2+(-2-76)x+19

Apply the distributive property.

8×2-2x-76x+19

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(8×2-2x)-76x+19

Factor out the greatest common factor (GCF) from each group.

2x(4x-1)-19(4x-1)

Factor the polynomial by factoring out the greatest common factor, 4x-1.

(4x-1)(2x-19)

Factor 8x^2-78x+19

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