Q 6.26TI - Intermediate Algebra

Question

Factor $p^2+15pq+20q^2$

Step-by-Step Solution

Answer

The trinomial is prime

Step 1: Given information

Given the polynomial $p^2+15pq+20q^2$

Step 2: Create the factor table

The table is 

Factors of $20$	Sum of factors
$1,20$	$1+20=21$
$4,5$	$4+5=9$
$5,4$	$5+4=9$

Step 3: Checking for the combinations

The combination doesn't gives $15$ as the sum so the trinomial is prime