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The expression [x+(x^(3)-1)^((1)/(2))]...

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

A

5

B

7

C

9

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
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The expression [x+(x^(3)-1)^((1)/(2))]^(5)+[x-(x^(3)-1)^((1)/(2))]^(5) is a [x+(x^(3)-1)^((1)/(2))]^(5)+[x-(x^(3)-1)^((1)/(2))]^(5) is a polynomial of degree

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

Knowledge Check

  • The expansion [x+(x^(3)-1)^(1//2)]^(5)+[x-(x^(3)-1)^(1//2)]^(5) is a polynomial of degree

    A
    5
    B
    6
    C
    7
    D
    8

  • The expression (1)/(sqrt("")(3x+1)){((1+sqrt(3x+1))/(2))^(7)-((1-sqrt(3x-1))/(2))^(7)} is a polynomial in x of degree

    A
    7
    B
    5
    C
    4
    D
    3

  • The expression (1)/( sqrt( 3x +1)) [ ( ( 1+ sqrt( 3x + 1))/(2))^(7) - (( 1- sqrt ( 3x +1))/(2))^(7)] is a polynomial in x of degree eual to

    A
    3
    B
    4
    C
    2
    D
    5

    • Similar Questions

    Explore conceptually related problems

    The expression [x+(x^3-1)^(1/5]^5+[x-(x^3-1)^(1/2)]^5 is a polynomial of degree (A) 5 (B) 6 (C) 7 (D) 8

    (x+((x^(3)-1)^((1)/(2)))/(2))^(5)+(x-((x^(3)-1)^((1)/(2)))/(2))^(5) is a polynomial of degree a.5b.6c.7d.8])

    The expression (sqrt(x^(3)-1)+x^(2))^(11)-(sqrt(x^(3)-1)-x^(2))^(11) is a polynomial of degree

    (3)/(x+1)-(2)/(x-1)=(5)/(x^(2)-1)

    Is the expression x^(2)-1/x + 3 a polynomial ?

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