Factor 45x^2-9x-2

Math
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
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)
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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