Which of the following polynomial is the result of given polynomial expression?
$(2 x^{2} - 1) (4 x^{3} + 5 x^{2})$

8 x^{5} + 10 x^{4} - 4 x^{3} - 5 x^{2}

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8 x^{2} + 10 x^{3} - 4 x^{3} + 5 x^{2}

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x^{3} + 10 x^{4} + 4 x^{3} - 5 x^{2}

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x^{5} - 10 x^{4} - 4 x^{3} - 5 x^{2}

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Solution

The correct option is B $8 x^{5} + 10 x^{4} - 4 x^{3} - 5 x^{2}$
$(2 x^{2} - 1) (4 x^{3} + 5 x^{2})$

$= 8 x^{5} + 10 x^{4} - 4 x^{3} - 5 x^{2}$

Hence option $^{'} A^{'}$ is the answer.

A polynomial is an expression consisting of variables and coefficient, that involves only the operations of addition, subtraction and multiplication, and non-negative integer exponents.
$∴$ This is a polynomial.

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