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Use factor theorem to verify in the foll...

Use factor theorem to verify in the following that `q(x)` is a factor of `p(x)=3x^3+x^2-20x+12,q(x)=3x-2`.

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MBD-Polynomials-Exercise
  1. Use factor theorem to verify in the following that q(x) is a factor of...

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  2. Use factor theorem to verify in the following that q(x) is a factor of...

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  3. Use factor theorem to verify in the following that q(x) is a factor of...

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  4. Find the value of k if (x-2) is a factor of 2x^3-6x^2+5x+k.

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  5. Find the value of k if (x+3) is a factor of 3x^2+kx+6.

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  6. for what value of k is y^3+ky+2k-2 exactly divisible by (y+1) ?

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  7. For what value of m is 2x^3+mx^2+11x+m+3 exactly divisible by (2x-1) ?

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  8. Find the value of a if 2y + 3 is a factor of 2y^3+9y^2-y-a.

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  9. Find the value of k if x -1 is a factor of k^2x^3 - 4kx + 4k - 1.

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  10. For what value of a is the polynomial 2x^4 -ax^3 + 4x^2 + 2x + 1 is di...

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  11. Find the value of a if x + a is a factor of x^3 + ax^2 - 2x + a + 4.

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  12. Find the value of a if x + a is a factor of x^4 - a^2x^2 + 3x - a.

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  13. Using factor theorem, show that a - b is the factor of a(b^2 -c^2)+ b(...

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  14. Factorise x^2 + 5x + 6

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  15. Using factor theorem, factorize the polynomial x^2 -7x + 12.

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  16. Using factor theorem, factorize the polynomial x^2 - 5x -6.

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  17. Find the remainder when x^51 + 51 is divided by x + 1.

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  18. Factorise : x^3 -10x^2 - 53x -42.

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  19. Factorise : x^3+13x^2+31x-45.

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  20. Factorise : y^3 - 2y^2 - 29y - 42.

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