By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$
$(x+2)(2 x+1)(3 x+2)$
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}+10 x+16$
If $x+3$ is a factor of $x^{3}+12 x^{2}+a x+60$ then $a=\ldots \ldots \ldots$
The degree of polynomial $5 x^{2}-7 x-11$ is……….
On dividing $p(x)=2 x^{3}-3 x^{2}+a x-3 a+9$ by $(x+1),$ if the remainder is $16,$ then find the value of $a$. Then, find the remainder on dividing $p(x)$ by $x+2$
Find the zero of the polynomial in each of the following cases
$p(x)=\frac{2}{3} x+\frac{5}{4}$
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