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In each of the following polynomials, fi...

In each of the following polynomials, find the value of `a` if `x+a` is a factor
`x^3+ a x^ 2-2x+a+4`
`x^4-a^2x^2 +3x-a`

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In each of the following polynomials,find the value of a if x+a is a factor: x^(3)+ax^(2)-2x+a+4

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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
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  2. 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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  3. In each of the following polynomials, find the value of a if x+a is ...

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

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

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

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

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

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

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

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

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

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

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  17. Find the integral roots of the polynomial f(x) = x^3 + 6x^2 + 11x + 6

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  18. What must be subtracted from x^3-6x^2-15 x+80 so that the result is ex...

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  19. If x^3+a x^2-b x+10 is divisible by x^2-3x+2, find the values of a and...

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

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