Related InterviewSolutions

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• Use factor theorem to verify that `x+a`is a factor of `x^n+a^n`for any odd positive integer.
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• If `x=4/3`is a root of the polynomial `f(x)=6x^3-11 x^2+k x-20 ,`find the value of `k`
• What must be added to `x^4+2x^3-2x^2+x-1`so that the result is exactly divisible by `x^2+2x-3.`
• Find the remainder when `f(x)=x^3-6x^2+2x-4`is divided by `g(x)=3x-1.`
• If `x-2`is a factor of each of the following twopolynomials, find the values of `a`in each case.`x^3-2a x^2+a x-1``x^5-3x^4-a x^3+3a x^2+2a x+4`
• What must be added to `3x^3+x^2-22 x+9`so that the result is exactly divisible by `3x^2+7x-6?`
• If the polynomials `a x^3+3x^2-13`and `2x^3-5x+a ,`when divided by `(x-2)`leave the same remainder, find the value of `a`.
• What must be subtracted from `4x^4-2x^3-6x^2+x-5`so that the result is exactly divisible by `2x^2+x-1`