Quadratics

Question 1

How do you find the number of roots of an equation without solving it?

Answer 1

Find the discriminant b^2-4ac

• discriminant > 0 is 2 roots
• discriminant = 0 is 1 root
• discriminant < 0 is 0 roots

Question 2

True or False: you factor a quadratic that is not equal to zero and still get the right roots.

Answer 2

FALSE

Question 3

(x^2-y^2) =

Answer 3

(x-y)(x+y)

Question 4

(x+y)^2

Answer 4

x^2+2xy+y^2

Question 5

If an equation of a parabola has no roots then…

Answer 5

It lies above the x-axis