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If x=-1/2 is a zero of the polynomial...

If `x=-1/2` is a zero of the polynomial `p(x)=8x^3-a x^2-x+2,` find the value of `a`

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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Verify whether the indicated numbers are zeros of the polynomials c...

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  2. If x=2 is a root of the polynomial f(x)=2x^2-3x+7a , find the value ...

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  3. If x=-1/2 is a zero of the polynomial p(x)=8x^3-a x^2-x+2, find the...

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  4. If x=0 and x=-1 are the roots of the polynomial f(x)=2x^3-3x^2+a x+b ,...

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  5. Find the integral roots of the polynomial f(x)=x^3-6x^2+11 x-6

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  6. Find rational roots of the polynomial f(x)=2x^3+x^2-7x-6

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  7. Let p(x)=x^4-3x^2+2x+5. Find the remainder when p(x) is divided by ...

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  8. Find the remainder when p(y)=y^3+y^2+2y+3 is divided by y+2.

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  9. Determine the remainder when the polynomial p(x)=x^4-3x^2+2x+1, is ...

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  10. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

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  11. Find the remainder when the polynomial f(x)=2x^4-6x^3+2x^2-x+2 is d...

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  12. Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1...

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  13. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  14. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  15. If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remaind...

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  16. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

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  17. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

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  18. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

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  19. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

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  20. f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4 divide f(x) with g(x) and find the rem...

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