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How do you factor 2x2 plus 7x plus 6? - Answers
axx+bx+c 2xx+7x+6a=2b=7c=6Multiply a and c:2*6=12Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):12=2*2*312=4*3, -4*-312=6*2, -6*-2Rewrite axx+bx+c into axx+dx+ex+c:2xx+7x+62xx+4x+3x+6Factor sets of terms (ie axx+dx, and ex+c):2xx+4x+3x+62x(x+2)+3(x+2)Combine like terms:2x(x+2)+3(x+2)(x+2)(2x+3)
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How do you factor 2x2 plus 7x plus 6? - Answers
axx+bx+c 2xx+7x+6a=2b=7c=6Multiply a and c:2*6=12Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):12=2*2*312=4*3, -4*-312=6*2, -6*-2Rewrite axx+bx+c into axx+dx+ex+c:2xx+7x+62xx+4x+3x+6Factor sets of terms (ie axx+dx, and ex+c):2xx+4x+3x+62x(x+2)+3(x+2)Combine like terms:2x(x+2)+3(x+2)(x+2)(2x+3)
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How do you factor 2x2 plus 7x plus 6? - Answers
axx+bx+c 2xx+7x+6a=2b=7c=6Multiply a and c:2*6=12Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):12=2*2*312=4*3, -4*-312=6*2, -6*-2Rewrite axx+bx+c into axx+dx+ex+c:2xx+7x+62xx+4x+3x+6Factor sets of terms (ie axx+dx, and ex+c):2xx+4x+3x+62x(x+2)+3(x+2)Combine like terms:2x(x+2)+3(x+2)(x+2)(2x+3)
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