Multiply:
$(x^{2} - 3 x + x + 6)$ by $(1 - 2 x + 3 x^{2})$

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Solution

$(x^{2} - 3 x + x + 6) (1 - 2 x + 3 x^{2})$
$= (x^{2} - 2 x + 6) (3 x^{2} - 2 x + 1)$
$= 3 x^{4} - 2 x^{3} + x^{2} - 6 x^{3} + 4 x^{2} - 2 x + 18 x^{2} - 12 x + 6$
$= 3 x^{4} - 8 x^{3} + 23 x^{2} - 14 x + 6$

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