R. D. Sharma Solutions for Chapter: Factorization of Polynomials, Exercise 7: MULTIPLE CHOICE QUESTIONS (MCQs)

When $x^3-2x^2+ax-b$ is divided by $x^2-2x-3,$ the remainder is $x-6$. The values of $a$ and $b$ are respectively

When $x^3-2x^2+ax-b$ is divided by $x^2-2x-3,$ the remainder is $x-6 .$ The values of $a$and $b$ are respectively

One factor of $x^4+x^2-20$ is $x^2+5$. The other factor is 

When $x^3-2x^2+ax-b$ is divided by $x^2-2x-3,$ the remainder is $x-6.$ The values of $a$ and $b$ are respectively

If $(x-1)$ is a factor of polynomial $f\left(x\right)$but not of $g\left(x\right),$ then it must be a factor of

$(x+1)$ is a factor of  $x^n+1$ only if 

If $x^2+x+1$ is a factor of the polynomial $3x^3+8x^2+8x+3+5k,$ then the value of $k$ is

If $x^2-1$ is a factor of $a{x}^4+b{x}^3+c{x}^2+dx+e,$ then