If $a = 4$ then the degree of the polynomial $x^{2} + 4 x^{7} - 2 x^{2 a - 3} + 8$ is

7.0

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7.00

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Solution

Given polynomial is $x^{2} + 4 x^{7} - 2 x^{2 a - 3} + 8$ .
The value of $a$ is given as $4$ .
$\Rightarrow 2 a - 3 = 2 \times 4 - 3 = 5$
Since degree of a polynimial is the highest or the greatest power of a variable in a polynomial.
Here the term $4 x^{7}$ has the highest power of $x$ in the given polynomial.
$\Rightarrow$ Degree of the given polynomial is $7$

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