SOLUTION: Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2 is prime. If it is not prime, factor it.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2 is prime. If it is not prime, factor it.      Log On


   

Question 59230This question is from textbook elementary and intermediate algebra
: Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2
is prime. If it is not prime, factor it. This question is from textbook elementary and intermediate algebra

Found 2 solutions by venugopalramana, funmath:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2
is prime. If it is not prime, factor it.
DISCRIMINANT = 3^2-4*2*2=9-16=-7..NEGATIVE
HENCE NO REAL ROOTS/FACTORS.
SO IT IS`A PRIME POLYNOMIAL

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2
is prime. If it is not prime, factor it.
The discriminant of a quadratic equation written in standard form:ax%5E2%2Bbx%2Bc is highlight%28b%5E2-4ac%29, if this is negative there is no real number solution, if it's not a perfect square, it's not factorable.
:
a=2, b=3, and c=2
:
3%5E2-4%282%29%282%29
9-16
-7 It's not factorable and has no real solution.
Happy Calculating!!!