Question

1. ( k^2 + 9k + 8 )\\13. ( x^2 - 16x + 60 )\\14. ( h^2 - 19h + 78 )

Explanation:

Step1: Factor $k^2+9k+8$

Find two numbers that multiply to 8 and add to 9: 1 and 8.
$k^2+9k+8=(k+1)(k+8)$

Step2: Factor $x^2-16x+60$

Find two numbers that multiply to 60 and add to -16: -6 and -10.
$x^2-16x+60=(x-6)(x-10)$

Step3: Factor $h^2-19h+78$

Find two numbers that multiply to 78 and add to -19: -6 and -13.
$h^2-19h+78=(h-6)(h-13)$

Answer:

1. $(k+1)(k+8)$
2. $(x-6)(x-10)$
3. $(h-6)(h-13)$