R. D. Sharma Solutions for Chapter: Factorization of Polynomials, Exercise 2: EXERCISE

If $f\left(x\right)=2x^3-13x^2+17x+12$, find the value of $f\left(2\right)$

If $f\left(x\right)=2x^3-13x^2+17x+12$, find the value of $f(-3)$

If $f\left(x\right)=2x^3-13x^2+17x+12$, find $f\left(0\right)$

If $x=2$ is a root of the polynomial $f\left(x\right)=2x^2-3x+7a,$ then find the value of $a$.

If  $x=-\frac{1}{2}$  is a zero of the polynomial $p\left(x\right)=8x^3-a{x}^2-x+2,$ find the value of  $a$

If $x=0$ and $x=-1$ are the roots of the polynomial $f\left(x\right)=2x^3-3x^2+ax+b,$ find the value of $a$ and $b$.

Find the integral roots of the polynomial $f\left(x\right)=x^3+6x^2+11x+6$

Find rational roots of the polynomial $f\left(x\right)=2x^3+x^2-7x-6$