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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:
$x^2+7x+12$
$x^2+8x+15$

$x^2+3x-54$
$x^2+5x-14$

$x^2-x-56$
$x^2-5x-36$

$x^2-11x+28$
$x^2-14x+45$
Fully factorize:
$x^2+4x-12$
$x^2+9x+14$

$x^2+18x+81$
$x^2-8x-9$

$x^2-5x-36$
$x^2-12x+35$

$x^2-5x-6$
$x^2+10x+24$

$x^2-6x+9$
$x^2+2x-48$

$x^2+6x-7$
$x^2+x-56$

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

$x^2+5x+6$
$x^2-7x-8$