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P (x) =1 - (1)/(x) and Q (x) = x ^(3) + ...

`P (x) =1 - (1)/(x) and Q (x) = x ^(3) + x ^(2) +x ` then `P (x) xx Q (x)` is

A

`x ^(3) + (1)/(x ^(3))`

B

`x ^(3) - (1)/(x ^(3))`

C

`x ^(3) -1`

D

`x ^(3) +1`

Text Solution

Verified by Experts

The correct Answer is:
C
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CENGAGE-ALGEBRAIC EXPRESSIONS AND POLYNOMIALS -TEST YOURSELF (LEVEL 3) (MULTIPLE CHOICE QUESTIONS)
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  2. (x + y) (x ^(2) + y ^(2) - xy) (x ^(2 )+ y ^(2) + xy) (x - y) is equa...

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  3. (a - (1)/(a)) (a + (1)/(a)) (a ^(2) + (1)/(a^(2))) is equal to

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  4. P (x) =1 - (1)/(x) and Q (x) = x ^(3) + x ^(2) +x then P (x) xx Q (x...

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  5. (2x + y) ^(3) - (x + 2y) ^(3) + 3 ( 2x + y) (x + 2y) ^(2)- 3 ( x + y) ...

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  6. If P = sqrt 3 then value of P ^(4) - 6 P ^(2) + 10 is

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  7. If x =3 and y = sqrt3 then value of x ^(2) + y ^(4) + 2xy ^(2) is

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  8. If x = 3 + sqrt2 then value of x ^(4) - 12 x ^(3) + 50 x ^(2) - 8...

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  9. The remainder when x ^(4) - 4x ^(2) + 2x ^(2) + 4x + 1 is dividing by...

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  10. Which of the following is not a factor of (x ^(2) - 4x + 3) ( x ^(3...

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  11. The square root of x ^(4) - 2x ^(2) + 1

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  12. The square root of x ^(4) + 8x ^(3) + 22 x ^(2) + 24 x + 9 is

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  13. Which of the following is ot a factor of a ^(2) + b ^(2) - 2 b - 8 ?

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  14. The HCF of x ^(5) + 32 and x ^(2) + 4x + 4 is

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  15. LCM of (x +1), (x ^(2) -x +1) and (x -1) (x ^(2) + x 1) is

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  16. LCM of (7)/(2) a ^(2) b and (3)/(2) ab ^(2) is

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  17. If polynomial x ^(2) + ax + b leaves remainders 2 and 3 when divided b...

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  18. Which of the following is a factor of 1 + x + x ^(2) + x ^(3) ?

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  19. If a + b + c = 7 and a b + bc + ca = 16 then the value of a ^(3) + b ^...

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  20. If area of a rectangle is 2x ^(2) + 13 x + 15 then measure of its side...

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