With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors
$x-4$
$6$
$0$
$2$
$9$
If $x+y=-4,$ then what is the value of $x^{3}+y^{3}-12 x y+64 ?$
Write whether the statement are True or False. Justify your answer.
A binomial can have atmost two terms
The following expressions are polynomials? Justify your answer:
$8$
On dividing $p(x)=x^{3}+2 x^{2}-5 a x-7$ by $(x+1),$ the remainder is $R _{1}$ and on dividing $q(x)=x^{3}+a x^{2}-12 x+6$ by $(x-2), \quad$ the remainder is $R _{2} .$ If $2 R _{1}+ R _{2}=6,$ then find the value of $a$.
$4 x^{2}+11 x-3$ is a $\ldots \ldots . .$ polynomial.
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