State whether each of the following statements is true or false
In polynomial $5 x^{3}-3 x^{2}+11 x-14,$ the coefficient of $x^{3}$ is $3.$
False
Multiply $x^{2}+4 y^{2}+z^{2}+2 x y+x z-2 y z$ by $(-z+x-2 y)$
By Remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=x^{3}-2 x^{2}-4 x-1, \quad g(x)=x+1$
Expand
$(2 x+3 y+5)^{2}$
Expand the following:
$(3 a-2 b)^{3}$
$(2 x-3)(2 x+5)$
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