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Without actual division prove that 2x^4-...

Without actual division prove that `2x^4- 6x^3 +3x^2+3x-2` is exactly divisible by `x^2- 3x +2` is

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Without actual division prove that 2x^4-6x^3+3x^2+3x-2 is exactly division by x^2-3x+2.

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Without actual division, prove that x^4+2x^3-2x^2+2x-3 is exactly divisible by x^2+2x-3.

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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Show that (x-1) is a factor of x^(10)-1 and also of x^(11)-1.

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  2. Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12

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  3. Without actual division prove that 2x^4- 6x^3 +3x^2+3x-2 is exactly di...

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

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

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  6. Determine the value of a for which the polynomial 2x^4-a x^3+4x^2+2x+1...

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

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  8. Find the values of a and b so that the polynomial x^3+10 x^2+a x+b is ...

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  9. For what values of a is 2x^3+a x^2+11 x+a+3 exactly divisible by (2x-1...

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  10. If a x^3+b x^2+x-6 has x+2 as a factor and leaves a remainder 4 when d...

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  11. If both x-2 and x-1/2 are factors of p x^2+5x+r , show that p=rdot

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  12. If x^2-1 is a factor of a x^4+b x^3+c x^2+dx+e , show that a+c+e=...

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  13. Without actual division, prove that 2x^4-5x^3+2x^2-x+2 is exactly divi...

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  14. Without actual division, prove that x^4+2x^3-2x^2+2x-3 is exactly divi...

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  15. In each of the following polynomials, find the value of a if x+a is...

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  16. In each of the following polynomials, find the value of a if x+a is...

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  17. Use factor theorem to verify that x+a is a factor of x^n+a^n for any o...

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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. What must be subtracted from 4x^4-2x^3-6x^2+x-5 so that the result is...

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  20. What must be added to x^4+2x^3-2x^2+x-1 so that the result is exactly ...

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