Factor 36x^2-39x+9

Math
36×2-39x+9
Factor 3 out of 36×2-39x+9.
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Factor 3 out of 36×2.
3(12×2)-39x+9
Factor 3 out of -39x.
3(12×2)+3(-13x)+9
Factor 3 out of 9.
3(12×2)+3(-13x)+3(3)
Factor 3 out of 3(12×2)+3(-13x).
3(12×2-13x)+3(3)
Factor 3 out of 3(12×2-13x)+3(3).
3(12×2-13x+3)
3(12×2-13x+3)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=12⋅3=36 and whose sum is b=-13.
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Factor -13 out of -13x.
3(12×2-13(x)+3)
Rewrite -13 as -4 plus -9
3(12×2+(-4-9)x+3)
Apply the distributive property.
3(12×2-4x-9x+3)
3(12×2-4x-9x+3)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
3((12×2-4x)-9x+3)
Factor out the greatest common factor (GCF) from each group.
3(4x(3x-1)-3(3x-1))
3(4x(3x-1)-3(3x-1))
Factor the polynomial by factoring out the greatest common factor, 3x-1.
3((3x-1)(4x-3))
3((3x-1)(4x-3))
Remove unnecessary parentheses.
3(3x-1)(4x-3)
3(3x-1)(4x-3)
Factor 36x^2-39x+9

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