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If x=(sqrt(3)+1)/2, find the value of 4x...

If `x=(sqrt(3)+1)/2,` find the value of `4x^3+2x^2-8x+7.`

A

`8`

B

`10`

C

`15`

D

`14`

Text Solution

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The correct Answer is:
B
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MTG IIT JEE FOUNDATION-POLYNOMIALS-Olympiad/HOTS Corner
  1. If x=1/(2-sqrt(3)), find the value of x^3-2x^2-7x+5

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  2. The quotient obtained on dividing (8x^(4)-2x^(2)+6x-7) by (2x+1) is (4...

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  3. The polynomial ax^(3)-29x^(2)+45x-9 when divided by (3x-1) leaves rema...

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  4. Numbers of zeroes of the zero polynomial is

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  5. If (x+2) and (2x-1) are factors of (2x^(3)+ax^(2)+bx+10) , then value ...

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  6. Divide the product of (4x^(2)-9) and (2x^(2)-3x+1) by (4x^(3)-7x+3) .

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  7. If x^4+1/x^4 = 47 find the value of x^3+1/x^3

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  8. If a-b=3, a+b+x=2 , then the value of (a-b)[x^(3)+3(a+b)x^(2)+3x(a+b)^...

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  9. If (x+a) is the factor of the polynomials (x^(2)+px+q) and (x^(2)+mx+n...

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  10. Find the value of l, so that y-2p is a factor of (y^(3))/(4p^(2))-2y+l...

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  11. If the polynomial x^(3)+2x^(2)-alphax-12 is divided by (x-4) the remai...

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  12. Evaluate : (2x-y+3z)(4x^(2)+y^(2)+9z^(2)+2xy+3yz-6xz)

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  13. If 2x+3y+z=0 , then (8x^(3)+27y^(3)+z^(3))-:xyz is equal to

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  14. The value of k for which (x-1) is a factor of the polynomial x^(3)-kx^...

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  15. If x^2+1/(x^2)=98 , find the value of x^3+1//x^3

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  16. The polynomials (x^(3)-1) and (x^(2)+1) are divided by (x+1) leave the...

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  17. Factorise : x^(4)+5x^(3)+5x^(2)-5x-6

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  18. The factors of [(2)/(x^(4))-(1)/(x^(2))] will be

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  19. If x=(sqrt(3)+1)/2, find the value of 4x^3+2x^2-8x+7.

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  20. If a+b+c=10 and a^(2)+b^(2)+c^(2)=80 , find the value of a^(3)+b^(3)+c...

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