The expression $[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}$
is a polynomial of degree

5

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6

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7

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8

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Solution

The correct option is A $5$
By observation we can see that maximum power of $x$ is $\frac{15}{2}$ , which is fractional and can't be the degree.

Therefore the maximum integral power is $5$ , by observation,

Hence this polynomial ha degree $5$

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Similar questions

[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}

[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}

{[x + (x^{3} - 1)^{\frac{1}{2}}]}^{5} + {[x - (x^{3} - 1)^{\frac{1}{2}}]}^{5} .

{[x + (x^{3} - 1)^{1 / 2}]}^{5} + {[x - (x^{3} - 1)^{1 / 2}]}^{5}

{[x + (x^{3} - 1)]}^{5}

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