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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:
$x^2+13x+36$
$x^2+6x+8$

$x^2+5x-24$
$x^2+6x-7$

$x^2-7x-18$
$x^2-3x-40$

$x^2-11x+18$
$x^2-12x+27$
Fully factorize:
$x^2-2x-3$
$x^2-6x-27$

$x^2-x-20$
$x^2-11x+24$

$x^2+16x+64$
$x^2-5x+6$

$x^2+4x-21$
$x^2+13x+40$

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

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

$x^2+x-6$
$x^2+3x-10$

$x^2-3x+2$
$x^2-2x-63$