What is the degree of polynomial $P$ defined by :
$P (x) = 2 (x - 2) (x^{2} + 5)$

2

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3

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1

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- 1

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Solution

The correct option is A $3$
Solve the polynomial as follows:
$2 (x - 2) (x^{2} + 5)$
$= (2 x - 4) (x^{2} + 5)$
$= 2 x^{3} + 10 x - 4 x^{2} - 20$ or
$= 2 x^{3} - 4 x^{2} + 10 x - 20$
Since the highest degree of its term is the degree of a polynomial and here the highest degree is $3$ .
Hence, the degree of the given polynomial is $3$ .

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