Multiply: $(x^{2} - 5 x + 2)$ by $(3 x^{2} + 2 x - 5)$

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Solution

$(x^{2} - 5 x + 2) * (3 x^{2} + 2 x - 5) = x (3 x^{2} + 2 x - 5) - 5 x (3 x^{2} + 2 x - 5) + 2 (3 x^{2} + 2 x - 5)$

$= 3 x^{3} + 2 x^{2} - 5 x - 15 x^{3} - 10 x^{2} + 25 x + 6 x^{2} + 4 x - 10$

$= - 12 x^{3} - 2 x^{2} + 24 x - 10$

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