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factor the trinomial completely 10x^3-26x^2-12x
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\[10x^3-26x^2-12x\]pull out the greatest common factor:\[2x(5x^2-13x-6)\]\(-13\) can be split into \(-15\) and \(2\):\[2x(5x^2-15x+2x-6)\]group the terms:\[2x[(5x^2-15x)+(2x-6)]\]factor out the commons from each set of parenthesis:\[2x[5x(x-3)+2(x-3)]\]rearrange:\[2x[(5x+2)(x-3)]~~\checkmark\]
how do you get - 15 from -13
i see -15 + 2=-13
so the answer is 2x[(5x+2)(x-3)]
yup :)
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