Pre-Calculus problem! HELP ! PLEASE!?

Question

-The radican b^2 -4ac in the quadratic formula is called the discriminant of the quadratic polynomia ax^2+bx+c because it can be used to describe the nature of its zeros

a)If b^2 - 4ac > 0, what can you say about the zeros of the quadratic polynomial ax^2 +bx + c? Explain your answer

b) If b^2 - 4ac = 0, what can you say about the zeros of the quadratic polynomial ax^2 +bx + c? Explain your answer

c) If b^2 - 4ac < 0, what can you say about the zeros of the quadratic polynomial ax^2 +bx + c? Explain your answer

Please and Thank you!!! =]]

Answer 1

the zeros of the quadratic are

(-b ± √(D))/2a .. . . where D = discriminant

thus

a. there would be two values when D &gt; 0 .. . .. . the zeros are real and unequal

b. D = 0, the two roots are -b/2a and -b/2a. the zeros are real and equal

c. D &lt; 0 , then it would lead to imaginary zeros. (D is inside the radical.)

Answer 2

a)If b^2 - 4ac &gt; 0,

  

   they are real and identical ( the roots are not equal)

b) If b^2 - 4ac = 0,

   they are real and same ( the roots are equal)

c) If b^2 - 4ac &lt; 0,

they are imaginary and identical ( the roots are not equal)

thanx