Question

1. factor

$k^2 + 7k + 10$

a) $(k + 2)(k - 5)$
b) $(k + 2)(k + 5)$
c) $(k + 10)(k + 4)$
d) $(k - 2)(k - 5)$

1. factor $x^2 + 9x - 36$

a) $(x + 12)(x - 3)$
b) $(x + 9)(x - 4)$
c) $(x - 9)(x - 4)$
d) $(x - 12)(x + 3)$

1. factor:

$x^2 + 6x + 8$

a) $(x + 4)(x + 3)$
b) $(x + 2)(x + 3)$
c) $(x + 4)(x + 2)$
d) $(x + 5)(x + 1)$

Explanation:

Step1: Find pair for $k^2+7k+10$

Find two numbers that multiply to $10$ and add to $7$: $2$ and $5$.
Factor: $(k+2)(k+5)$

Step2: Find pair for $x^2+9x-36$

Find two numbers that multiply to $-36$ and add to $9$: $12$ and $-3$.
Factor: $(x+12)(x-3)$

Step3: Find pair for $x^2+6x+8$

Find two numbers that multiply to $8$ and add to $6$: $4$ and $2$.
Factor: $(x+4)(x+2)$

Answer:

1. b) $(k + 2)(k + 5)$
2. a) $(x + 12)(x - 3)$
3. c) $(x + 4)(x + 2)$