Factor 45x^2-9x-2 - MathMaster

45×2-9x-2

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=45⋅-2=-90 and whose sum is b=-9.

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Factor -9 out of -9x.

45×2-9(x)-2

Rewrite -9 as 6 plus -15

45×2+(6-15)x-2

Apply the distributive property.

45×2+6x-15x-2

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(45×2+6x)-15x-2

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

3x(15x+2)-(15x+2)

Factor the polynomial by factoring out the greatest common factor, 15x+2.

(15x+2)(3x-1)

Factor 45x^2-9x-2

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