Question

practice problems (hw if not finished in class)
factor each completely.

1. ( r^2 + 8r - 9 )
2. ( p^2 + 5p - 6 )

Explanation:

Step1: Find pair for $r^2+8r-9$

Find two numbers: product = $-9$, sum = $8$. The numbers are $9$ and $-1$.

Step2: Factor the quadratic

$r^2 + 8r - 9 = (r+9)(r-1)$

Step3: Find pair for $p^2+5p-6$

Find two numbers: product = $-6$, sum = $5$. The numbers are $6$ and $-1$.

Step4: Factor the quadratic

$p^2 + 5p - 6 = (p+6)(p-1)$

Answer:

1. $(r+9)(r-1)$
2. $(p+6)(p-1)$