Question

1. $10x^2 - 12x$ 2) $10x^2y - 12xy$ 3) $-10x + 24$

fa ct or
$2x^2(5x - 6)$ $2xy(5x - 6)$ $-2(5x + 12)$
in gf un
$2x(5x - 6)$ $-2(5x - 12)$ $2x^2y(5x - 6)$
convert your six letters, in order of problems #1 - 3, into numbers using the keypad on the right. that six - digit number is your lock code.

Explanation:

Step1: Factor $10x^2-12x$

Find GCF of $10x^2$ and $12x$, which is $2x$.
$10x^2 - 12x = 2x(5x - 6)$
This matches the entry under IN.

Step2: Factor $10x^2y-12xy$

Find GCF of $10x^2y$ and $12xy$, which is $2xy$.
$10x^2y - 12xy = 2xy(5x - 6)$
This matches the entry under CT.

Step3: Factor $-10x+24$

Factor out $-2$ from the terms.
$-10x + 24 = -2(5x - 12)$
This matches the entry under GF.

Step4: Map letters to keypad numbers

• I is on keypad 4, N is on keypad 6
• C is on keypad 2, T is on keypad 8
• G is on keypad 4, F is on keypad 3

Answer:

462843