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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:
$x^2+12x+35$
$x^2+10x+25$

$x^2+2x-35$
$x^2+x-20$

$x^2-x-12$
$x^2-5x-6$

$x^2-3x+2$
$x^2-8x+15$
Fully factorize:
$x^2-9x+8$
$x^2+3x-4$

$x^2+14x+45$
$x^2+16x+64$

$x^2-7x+6$
$x^2-13x+42$

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

$x^2+5x-14$
$x^2-x-56$

$x^2-4x-12$
$x^2-6x+8$

$x^2+x-30$
$x^2-5x-6$

$x^2+11x+28$
$x^2+5x-6$