Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$2 x-3$
Quotient $=x-2,$ Remainder $=-21$
Determine the degree of each of the following polynomials:
$y^{3}\left(1-y^{4}\right)$
By acute division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: $x^{4}+1 ; x+1$
Factorise :
$2 x^{3}-3 x^{2}-17 x+30$
Find the value of each of the following polynomials at the indicated value of variables
$p(x)=x^{2}+5 x-24$ at $x=3$
Give possible expressions for the length and breadth of the rectangle whose area is given by $4 a^{2}+4 a-3$
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