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

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

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To factor the polynomial \(2x^4 + x^3 - 14x^2 - 19x - 6\), we will follow these steps: ### Step 1: Group the terms We will group the polynomial into two parts: \[ (2x^4 + x^3) + (-14x^2 - 19x - 6) \] ...
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. if f(x) = x^4-2x^3+3x^2-ax+b is a polynomial such that when it is div...

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

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

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

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

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

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

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

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  10. If is a factor of each of the following two polynomials, find the va...

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  11. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when1 it is divi...

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  12. Using factor theorem, factorize each of the following polynomials :...

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  13. Use factor theorem to prove that (x+a) is a factor of (x^(n)+a^(n))...

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  14. 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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  15. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5ax-7 a...

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  16. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

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  17. If the polynomials ax^3+4x^2+3x-4 and x^3-4x+a leave the same remainde...

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  18. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  19. Find the remainder when p(x)=4x^2-2 x^2+14 x-3 is divided by g(x)=x-1/...

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  20. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

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