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Prove that: (x-1) is a factor of 2x^4+9x...

Prove that:
(x-1) is a factor of `2x^4+9x^3+6x^2-11x-6`

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Show that: 2x-3 is a factor of x+2x^3-9x^2+12

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Use factor theorem to verify in the following that q(x) is a factor of p(x)=2x^3-9x^2+x+12,q(x)=2x-3 .

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Factorize: x^3-6x^2+11x-6

MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. The polynomal f(x)=ax^3+3x^2-3 and g(x)=2x^3-5x+a when divided by (x-4...

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  2. Prove that: (x-3) is a factor of x^3+x^2-17x+15.

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  3. Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

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  4. Prove that: (x+5) is a factor of x^3+x^2+3x+115

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  5. Prove that: (x+3) is a factor of x^5+3x^4-x^3-3x^2

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  6. Prove that: (3x-2) is a factor of 3x^3+x^2-20x+12

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  7. Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

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  8. Prove that: (x-sqrt2) is a factor of (7x^2-4sqrt2x-6)

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  9. Prove that: (x+sqrt2) is a factor of (2sqrt2x^2+5x+sqrt2)

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  10. Prove that: (x+1) and (2x-3) are factors of 2x^3-9x^2+x+12

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  11. Find the integral zeroes of the polynomial: p(x)=x^3+6x^2+11x+6

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  12. Find the value of k if: (x-k) is a factor of x^3-k^2x+x+2

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  13. Find the value of k if (x+3) is a factor of 3x^3+kx+6

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  14. Prove that (x^3-3x^2-13x+15) is exactly divisible by x^2+2x-3

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  15. Prove that (x-1) is a factor of x^10-1 and x^11-1

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  16. Find the value of a and b so that the polynomial x^3-ax^2-13x+b has (x...

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  17. If ax^3+bx^2+x-6 has (x+2) as a factor and a remainder 4 when divided ...

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  18. If (x^2-1) is a factor of ax^4+bx^3+cx^2+dx+e if that a+c+e=b+d=0

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  19. If both (x+1) and (x-1) are factors of ax^3-2x+b, find the values of a...

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  20. find alpha and beta if (x+1) and (x+2) are factors x^3+3x^2-2alphax+be...

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