Question

expression
$7x^2 - 22x + 3$
$5x^2 + 7x + 2$
$9x^2 - 19x + 2$
factored

Explanation:

Step1: Factor $7x^2-22x+3$

Find pair: $-21x,-x$. Rewrite and factor:
$7x^2-21x-x+3=7x(x-3)-1(x-3)=(7x-1)(x-3)$

Step2: Factor $5x^2+7x+2$

Find pair: $5x,2x$. Rewrite and factor:
$5x^2+5x+2x+2=5x(x+1)+2(x+1)=(5x+2)(x+1)$

Step3: Factor $9x^2-19x+2$

Find pair: $-18x,-x$. Rewrite and factor:
$9x^2-18x-x+2=9x(x-2)-1(x-2)=(9x-1)(x-2)$

Answer:

1. For $7x^2 - 22x + 3$: $(7x-1)(x-3)$
2. For $5x^2 + 7x + 2$: $(5x+2)(x+1)$
3. For $9x^2 - 19x + 2$: $(9x-1)(x-2)$