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Mathematics 18 Online
OpenStudy (anonymous):

Is 4x^2-17x+15 a prime polynomial?

jimthompson5910 (jim_thompson5910):

Are you familiar with the discriminant formula?

OpenStudy (anonymous):

No

jimthompson5910 (jim_thompson5910):

If you have a quadratic in the form ax^2 + bx + c, then the discriminant D is D = b^2 - 4ac

jimthompson5910 (jim_thompson5910):

If the discrminant is a positive perfect square, then you can factor the original expression. If not, then you can't factor it and it's prime.

OpenStudy (anonymous):

so it is a prime becuase you cant cut 15 in hoalf with out getting a decimal in there. so prime.

jimthompson5910 (jim_thompson5910):

not quite

jimthompson5910 (jim_thompson5910):

what are the values of 'a', 'b', and 'c'?

OpenStudy (anonymous):

a is 2x b is 7.5 but i dont know c

OpenStudy (anonymous):

where did u get 7.5? @SPC

OpenStudy (anonymous):

half of 15 is 7.5

jimthompson5910 (jim_thompson5910):

compare ax^2 + bx + c to 4x^2-17x+15 we can see that a = 4, b = -17 and c = 15

OpenStudy (anonymous):

i see what @jim_thompson5910 is saying

OpenStudy (anonymous):

discriminant= b² − 4ac

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