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Check whether 7 + 3x is a factor of 3x^3...

Check whether `7 + 3x` is a factor of `3x^3 + 7x`.

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Examine whether x + 2 is a factor of x^3+ 3x^2+ 5x + 6 and of 2x + 4.

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : x^2+3x+1,3x^4+5x^3-7x^2+2x+2 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=x-1-x^2,p(x)=3x^2-x^3-3x+5 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : x^3-3x+1,x^5-4x^3+x^2+3x+1 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=3x-2,p(x)=3x^3+x^2-20x+12 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=3x+10,p(x)=9x^3-27x^2-100x+300 .

Use the factor theorem to determine whether g (x) is a factor of p (x) in the following case : p(x)=x^3+3x^2+3x+1,g(x)=x+2 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=x^2-3x+2,p(x)2x^4-6x^3+3x^2+3x-2 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=2x-1,p(x)=4x^3-12x^2+14x-3 .

PSEB-POLYNOMIALS-EXAMPLE
  1. Check whether 7 + 3x is a factor of 3x^3 + 7x.

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  2. Find the degree of the polynomials given below: x^5-x^4+ 3

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  3. Find the degree of the polynomials given below: 2 - y^2 - y^3+ 2y^8

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  4. Find the degree of the polynomials given below: 2

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  5. Find the value of the following polynomial at the indicated value of v...

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  6. Find the value of the following polynomials at the indicated value of ...

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  7. Find the value of the following polynomials at the indicated value of ...

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  8. Check whether -2 and 2 are zeroes of the polynomial x + 2.

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  9. Find a zero of the polynomial p(x) = 2x + 1.

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  10. Verify whether 2 and 0 are zeroes of the polynomial x^2 - 2x.

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  11. Divide p(x) by g(x), where p(x) = x + 3x^2 - 1 and g(x) = 1 + x.

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  12. Divide the polynomial 3x^4 - 4x^3 -3x -1 by x – 1.

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  13. Find the remainder obtained on dividing p(x) = x^3 + 1 by x + 1.

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  14. Find the remainder when x^4 + x^3 -2x^2 + x + 1 is divided by x -1.

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

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  16. Examine whether x + 2 is a factor of x^3+ 3x^2+ 5x + 6 and of 2x + 4.

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

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  18. Factorise 6x^2 + 17x + 5 by splitting the middle term method.

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  19. Factorise y^2 - 5y + 6 by using the Factor Theorem.

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  20. Factorise x^3 - 23x^2 + 142x - 120.

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  21. Find the following product using appropriate identities: (x + 3)(x + 3...

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