Verify whether $3$ and $7$ are zeros of the polynomial $x^{2}-5 x-14$ or not.
$3$ is not a zero of the polynomial, $7$ is the zero of the polynomial.
Find the value of the polynomial $3 x^{3}-4 x^{2}+7 x-5,$ when $x=3$
Evaluate
$77 \times 83$
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}+14 x+33$
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 $a$.
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$2 x-3$
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