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

6 x^{5} + 3 x^{4} + 9 x^{3} + 3 x^{2}

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6 x^{5} - 3 x^{4} - 9 x^{3} + 3 x^{2}

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6 x^{5} - 3 x^{4} + 9 x^{3} - 3 x^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 x^{5} - 3 x^{4} - 9 x^{3} - 3 x^{2}

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Solution

The correct option is B $6 x^{5} - 3 x^{4} - 9 x^{3} + 3 x^{2}$
$3 x^{2} (2 x^{3} - x^{2} - 3 x + 1)$
First, multiply each term of the polynomial by the first term of the monomial.
$3 x^{2} (2 x^{3} - x^{2} - 3 x + 1)$
$= 3 x^{2} .2 x^{3} - 3 x^{2} . x^{2} - 3 x^{2} .3 x + 3 x^{2}$
$= 6 x^{5} - 3 x^{4} - 9 x^{3} + 3 x^{2}$

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