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Which of the following expressions are p...

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer : (i) `3x^2-4x+15` (ii) `y^2+2sqrt(3)` (iii) `3sqrt(x)+sqrt(2)x` (iv) `x-4/x` (v) `x^12 + y^3 + t^50`

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1.Which of the following expressions are polynomials in one variable and which are not State reasons for your answer. (i) 4x^2-3x+7 , (ii) y^2+sqrt2 (iii) 3sqrtt -3t , (iv) y+2/y , (v) x^16+y^5+t^50

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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. 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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  2. 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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  3. Which of the following expressions are polynomials in one variable a...

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

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

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

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

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  8. 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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  9. 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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  10. Using factor theorem, factorize the polynomial x^4+2x^3-13 x^2-14 x+24

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

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

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

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  14. 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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  15. In each of the following two polynomials, find the value of a , if x...

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

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

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  18. If x-2 is a factor of each of the following two polynomials, find th...

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  19. 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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  20. Using factor theorem, factorize the following polynomial : x^3+2x^2...

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