If $a$ and $b$ are the degrees of the polynomials $x^{3} + 3 x^{5} + 2 x + 1$ and $15$ , find $(a + b)^{3}$ .

125

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216

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27

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64

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Solution

The correct option is A $125$
The degree of the polynomial $x^{3} + 3 x^{5} + 2 x + 1 = a = 5$

The degree of the polynomial $15 = b = 0$

So, $(a + b)^{3} = (5 + 0)^{3} = 5^{3} = 125$

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