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Factorising $x^2+bx+c$

Review of Factorizing

Expand $\left(x+1\right)\left(x+2\right)=x^2+$ $x+$
$\quad$ Factorize $x^2+3x+2=\bigl(x+$ $\bigl)\bigl(x+$ $\bigl)$
Expand $\left(x-5\right)\left(x+3\right)=x^2-$ $x-$
$\quad$ Factorize $x^2-2x-15=\bigl(x-$ $\bigl)\bigl(x+$ $\bigl)$
Expand $\left(x-4\right)\left(x-8\right)=x^2-$ $x+$
$\quad$ Factorize $x^2-12x+32=\bigl(x-$ $\bigl)\bigl(x-$ $\bigl)$
Expand $\left(x+7\right)\left(x-2\right)=$
$\quad$ Factorize $x^2+5x-14=$
Expand $\left(x-9\right)\left(x-8\right)=$
$\quad$ Factorize $x^2-17x+72=$
Fully factorize:
$x^2+7x+6$
$x^2+4x+3$

$x^2+5x-6$
$x^2+x-2$

$x^2-4x-21$
$x^2-4x-32$

$x^2-17x+72$
$x^2-4x+3$
Fully factorize:
$x^2+4x-12$
$x^2-15x+54$

$x^2-3x-18$
$x^2-7x-8$

$x^2-15x+56$
$x^2+12x+32$

$x^2+3x+2$
$x^2-3x-10$

$x^2-5x-24$
$x^2+10x+9$

$x^2+4x-21$
$x^2+2x-15$

$x^2+8x+15$
$x^2+3x-40$

$x^2-8x+15$
$x^2-5x+4$