Goa Board Solutions for Chapter: Polynomials, Exercise 4: EXERCISE

If the value of $k=\left(-a-\sqrt{a}\right)$ and $\left(x-1\right)$ is a factor of $p\left(x\right)=2x^2+kx+\sqrt{2}$, then find the value of $a$.

 The value of $k$ if $x-1$ is a factor of $p\left(x\right)=k{x}^2-\sqrt{2}x+1$ is $\sqrt{2}-b$. Find the value of $b$

Factorise $2x^2+7x+3$

Factorise $6x^2+5x-6$

Factorise $3x^2-x-4$

Factorise $x^3-3x^2-9x-5$.

Factorise $x^3+13x^2+32x+20$

Factorise $2y^3+y^2-2y-1$