Question
Multiply the following:
$ \left(x^2-5 x+6\right),(2 x+7) $
$ \left(x^2-5 x+6\right),(2 x+7) $
✓
Answer
$ \left(x^2-5 x+6\right),(2 x+7) $
$ \left(x^2-5 x+6\right)(2 x+7) $
$ =x^2(2 x+7)-5 x(2 x+7)+6(2 x+7) $
$ =2 x^3+7 x^2-10 x^2-35 x+12 x+42 $
$ =2 x^3-3 x^2-23 x+42 $
$ \left(x^2-5 x+6\right)(2 x+7) $
$ =x^2(2 x+7)-5 x(2 x+7)+6(2 x+7) $
$ =2 x^3+7 x^2-10 x^2-35 x+12 x+42 $
$ =2 x^3-3 x^2-23 x+42 $
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