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Degree of a Polynomial

P x = x 2+ x ...

Question

$P (x) = x^{2} + x^{\sqrt{a^{2} - 7}} + x + 1$ .
What is the value of "a" if the degree of P(x) is 3?

A

3

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B

4

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C

-4

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D

Both B and C

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Solution

The correct option is D
Both B and C

Degree of a polynomial is the highest power of the variable in the polynomial So, in the given polynomial
$\sqrt{a^{2} - 7} = 3 a^{2} - 7 = 9 a^{2} = 16 a = \pm 4$

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