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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:
$x^2+5x+6$
$x^2+10x+21$

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

$x^2-5x-14$
$x^2-x-42$

$x^2-15x+54$
$x^2-4x+3$
Fully factorize:
$x^2-11x+18$
$x^2-7x-8$

$x^2+11x+18$
$x^2+9x+8$

$x^2-3x+2$
$x^2-x-56$

$x^2+x-30$
$x^2+9x+20$

$x^2-11x+28$
$x^2+14x+45$

$x^2-8x+16$
$x^2+x-42$

$x^2+6x-27$
$x^2-4x-12$

$x^2+4x-5$
$x^2-5x-6$