Which of the following polynomials has the highest degree?

4 x^{2} + 2 x + 1

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5 x^{3} + 2 x^{2} + 1

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4 x^{3} + 2 x^{2} + x + 1

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2 x^{4} + 1

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Solution

The correct option is D $2 x^{4} + 1$
The degree of a polynomial is the largest exponent on its variable.

$4 x^{2} + 2 x + 1 has a degree of 2.$
$5 x^{3} + 2 x^{2} + 1 has a degree of 3.$

$4 x^{3} + 2 x^{2} + x + 1 has a degree of 3.$

$2 x^{4} + 1 has a degree of 4.$

$So, (2 x^{4} + 1), has the highest degree.$

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