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Show that x=1 is a root of the polynomia...

Show that `x=1` is a root of the polynomial `2x^3-3x^2+7x-6`

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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. Identify polynomials in the following: (i) f(x)=4x^3-x^2-3x+7 (ii) g(...

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  3. Show that x=1 is a root of the polynomial 2x^3-3x^2+7x-6

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  4. If x=4/3 is a root of the polynomial f(x)=6x^3-11 x^2+k x-20 , find th...

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  5. If x=2 and x=0 are roots of the polynomial f(x)=2x^3-5x^2+a x+bdot Fin...

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  6. Which of the following expressions are polynomials in one variable a...

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  7. Write the degrees of each of the following polynomials: (i) 7x^3+4x^...

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  8. Classify the following polynomials as polynomials in one-variable, ...

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  9. Using factor theorem, factorize the polynomial x^3-6x^2+11 x-6 .

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  10. Find the rational roots of the polynomial 2x^3+3x^2-11 x-6

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  11. 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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  12. 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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  13. Using factor theorem, factorize the polynomial x^4+2x^3-13 x^2-14 x+24

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  14. Factorize : 2x^4+x^3-14 x^2-19 x-6

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

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  16. Factorize x^3+13 x^2+32 x+20 , if it is given that x+2 is its factor.

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  17. 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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  18. In each of the following two polynomials, find the value of a , if x...

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

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

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