SOLUTION: What is the value of the discriminant of the polynomial below? 4x^2 + 7x + 4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the value of the discriminant of the polynomial below? 4x^2 + 7x + 4      Log On


   

Question 145030: What is the value of the discriminant of the polynomial below?
4x^2 + 7x + 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From 4x%5E2%2B7x%2B4 we can see that a=4, b=7, and c=4


D=b%5E2-4ac Start with the discriminant formula


D=%287%29%5E2-4%284%29%284%29 Plug in a=4, b=7, and c=4


D=49-4%284%29%284%29 Square 7 to get 49


D=49-64 Multiply 4%284%29%284%29 to get %2816%29%284%29=64


D=-15 Subtract 64 from 49 to get -15

So the discriminant is D=-15