Evaluate: $(3 n^{2} - 2 n + 5 n^{4} + 3) (- 6)$

- 30 n^{4} + 18 n^{2} - 12 n - 18

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- 30 n^{4} - 18 n^{2} - 12 n - 18

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30 n^{4} - 18 n^{2} - 12 n - 18

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30 n^{4} + 18 n^{2} - 12 n - 18

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Solution

The correct option is B $- 30 n^{4} - 18 n^{2} - 12 n - 18$
$(3 n^{2} - 2 n + 5 n^{4} + 3) (- 6)$
First, multiply each term of the polynomial by the first term of the monomial.
$=$ $- 6.3 n^{2} + (- 6) . (- 2 n) + (- 6) .5 n^{4} + 3 (- 6)$
$=$ $- 18 n^{2} - 12 n - 30 n^{4} - 18$
$=$ $- 30 n^{4} - 18 n^{2} - 12 n - 18$

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