Manipur Board Solutions for Chapter: Polynomials, Exercise 3: EXERCISE 2.3

Factorise $x^3+13x^2+32x+20$ by using factor theorem.

Factorise $x^3-7x+6$ by using factor theorem.

Factorise $x^3+7x^2+14x+8$ by using factor theorem.

Factorise $x^3-13x-12$ by using factor theorem.

Factorise $x^4+6x^3+13x^2+12x+4$ by using factor theorem.

Factorise $x^4-1$ by using factor theorem.

Factorise $x^2\left(y+z\right)+y^2\left(z+x\right)+z^2\left(x+y\right)+2xyz$ by using factor theorem.

Prove that $x^n-a^n$ is divisible by $x+a$ only when $n$ is even.