Cubics

Question 1

What is a cubic/what is the form of a cubic?

Answer 1

• A cubic is an equation of the form: ax^3 + bx^2 + cx + d (where a, b, c, d are constants)
  ** -> a cannot be equal to 0**

Question 2

How many roots can a cubic have?

Answer 2

• 1, 2 or 3 roots

Question 3

Review the 3 numbers of roots a cubic can have (on Notability/GC)

Answer 3

Good luck!!!

Question 4

How many turning points can a cubic have?

Answer 4

• either 0 or 2 turning points

Question 5

Review the 2 numbers of turning points a cubic can have (on Notability/GC)

Answer 5

Good luck!!!

Question 6

How many different shaped cubic are there?

Answer 6

• 2 different shapes of cubics
• a > 0 = positive cubic
• a < 0 = negative cubic

Question 7

Review the 2 different kinds of shapes a cubic can have (on Notability/GC)

Answer 7

Good luck!!!

Question 8

What is a repeated root?

Answer 8

-> Repeated roots occur when a graph ‘touches the x-axis perfectly’
- e.g. y = (x+1)^2(x-1)