A K Upadhyay and S Upadhyay Solutions for Chapter: Polynomials, Exercise 9: TEST YOURSELF

For what value of $a,x-3$ is a factor of $x^3+x^2-17x+a?$

The degree of polynomial $3y-y^2+4$ is

If $p\left(x\right)=5-4x+2x^2$ then $p(-2)$ is

Zero of the polynomial $p\left(x\right)=2x+5$ is

Find the remainder when $P\left(x\right)=x^3+3x^2+3x+1$ is divided by $g\left(x\right)=5+2x$

Without actually calculating the cubes, find the value of ${\left(28\right)}^3+{\left(-15\right)}^3+{\left(-13\right)}^3.$

Evaluate using suitable identity.
${\left(102\right)}^3$

The polynomial $f\left(x\right)=a{x}^3+9x^2+4x-8$ when divided $(x+3)$ leaves $(-20)$ as remainder. Find the value of $a.$