Factorise the following quadratic polynomials by splitting the middle term
$x^{2}+10 x+16$
$(x+2)(x+8)$
If $x^{2}-8 x-20=(x+a)(x+b),$ then $a b=\ldots \ldots \ldots$
If the polynomial $a x^{3}+4 x^{2}+3 x-4$ and polynomial $x^{3}-4 x+a$ leave the same remainder when each is divided by $x-3,$ find the value of $a$.
Factorise
$x^{2}+\frac{y^{2}}{4}+\frac{z^{2}}{16}+x y+\frac{y z}{4}+\frac{z x}{2}$
Find the value of the polynomial $x^{2}-7 x+12$ at.
$x=\frac{1}{2}$
Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not
$x^{3}+3 x^{2} y+3 x y^{2}+y^{3}$
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