Multiply:
$(3 x^{2} - 2 x - 1)$ by $(2 x^{2} + x - 5)$

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Solution

$(3 x^{2} - 2 x - 1) (2 x^{2} + x - 5) = x^{4} + 3 x^{3} - 15 x^{2} - 4 x^{3} - 2 x^{2} + 10 x - 2 x^{2} - 1 + 5 = 6 x^{4} - x^{3} - 19 x^{2} + 9 x + 5$

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