NCERT Solutions for Chapter: Polynomials, Exercise 3: Exercise

If the zero of the polynomial $q\left(x\right)=2x–7$ is $\frac{k}{2}$, then find the value of $k$.

Find the zero of the polynomial $h\left(y\right)=2y$.

 Find the value of $m$ so that $2x – 1$ be a factor of$8x^4 + 4x^3 – 16x^2 + 10x + m.$

If $\left(a+b+c\right)=9$ and $ab+bc+ca=26$, find $a^2+b^2+c^2$.

Without actually calculating the cubes, find the value of:

${\left(\frac{1}{2}\right)}^3+{\left(\frac{1}{3}\right)}^3-{\left(\frac{5}{6}\right)}^3$

Without actually calculating the cubes, find the value of:

$(0.2{)}^3-(0.3{)}^3+(0.1{)}^3$

Find the value of

$x^3+y^3-12xy+64,\text{ when }x+y=-4$

Find the value of

$x^3-8y^3-36xy-216,\text{ when }x=2y+6$