factor completely the trinomial a^2+4ap-32p

Question

1. factor completely the trinomial a^2+4ap-32p

 

2. solve the inequality. graph the solution set and write it in interval notation |x| less then equal to 12 

Answer 1

1) do you mean a^2+4ap-32p^2 ??

if so, 4*8=32 and 8-4=4, the coefficient of the middle term

(a    p)(a    p) so far...

(a   8p)(a   4p) so far...

(a+8p)(a-4p) is the answer

 

2) lxl<12 means x<12 or -x<12

x<12 or x>-12

the solution set is all numbers between -12 and 12, inclusive

[-12,12]

 

<---------------O_______________O--------------->

                     -12                         12

you must shade in the circles for the graph to be correct; I can't shade them in on my computer