Question

$p(x) = {x}^{2} - 3x + 2$

Answer 1

P(x) = x^2 -3x +2

0= x^2 -(2+1)x +2

0=x^2 -2x -x +2

0=x(x-2) -1 ( x+2)

0=( x-1)(x-2)

So, x-1 =0

x=1

x-2 =0

x=2

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✔Always look at the sign of constant ie last term, of it is positive, then you need terms such that there addition gives the middle term.

✔If it is negative, there subtraction will give middle term.

✔For convenience, always factorise the constant, then calculate in your mind.

$\bf{Hope\:it\:helps}$