Evaluate the following products without multiplying directly
$78 \times 84$
$7546$
$6552$
$4736$
$4865$
$=(80-2)(80+4)$
$=(80)^{2}+(-2+4)(80)+(-2)(4)$
$=6400+160-8=6552$
From the following polynomials find out which of them has $(x+1)$ as a factor
$x^{3}-2 x^{2}-5 x+6$
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}+2 x-143$
$12 x^{2}+23 x+5$
From the following polynomials find out which of them has $(x-1)$ as a factor
$x^{3}+6 x^{2}-9 x-14$
Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials
$p(x)=x^{3}+9 x^{2}+23 x+15$
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