Using the Discriminant (nat 5)

Question 1

What is the formula of the discriminant?

Answer 1

2

b -4ac

Question 2

What does this formula help us to do?

Answer 2

Helps us determine the nature of the roots of a quadratic

Question 3

When the formula is > 0, what are the nature of the roots?

Answer 3

We have 2 real and distinct roots

Question 4

When the formula = 0, what are the nature of the roots?

Answer 4

We have 2 equal roots, or 1 real and repeated root

Question 5

When the formula < 0, what are the nature of the roots?

Answer 5

We have no real roots

Question 6

When the formula > 0, what does this mean with the parabola and the x-axis?

Answer 6

The parabola intersects the x-axis twice

Question 7

When the formula = 0, what does this mean with the parabola and the x-axis?

Answer 7

The parabola has a turning point at the root and the x-axis is a tangent to the parabola

Question 8

When the formula < 0, what does this mean with the parabola and the x-axis?

Answer 8

The parabola does not intersect the x-axis

Question 9

When we have 1 real repeated root, what are the roots? (to 0)

Answer 9

=0

Question 10

When we have 2 real and distinct roots, what are the roots? (to 0)

Answer 10

> 0

Question 11

When we have no real roots, what are the roots? (to 0)

Answer 11

<0

Question 12

What is the ‘a’ term?

Answer 12

The number next to the x squared term

Question 13

What is the ‘b’ term?

Answer 13

The number(s) next to the x term

Question 14

What is the ‘c’ term?

Answer 14

The leftover number(s) after the x term