factor completely, state if polynomial is prime

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

-9+18^2+21x

Apr 13th, 2015

First let's rearrange it in standard form

18x^2 + 21x - 9

Now let's pull out the GCF which is 3

3(6x^2 + 7x - 3)

Now let's factor what's inside the parenthesis

3(3x - 1)(2x + 3)

the discriminant b^2 - 4ac = 21^2 - 4(18)(-9) = 1089

sqrt(1089) = 33

Therefore the discriminant is a perfect square and the polynomial is NOT prime.

Apr 13th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 13th, 2015
...
Apr 13th, 2015
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer