Quadratics

Question 1

Method for completing the square with a coefficient

Answer 1

Take out factor of the coefficient from the x terms
Complete normal square
Expand square brackets
Simply C terms

Question 2

Hidden quadratic steps

Answer 2

Sub x terms with another letter to form quadratic
Solve normally
Sub answers out at the end

Question 3

What are the 3 rules for the discriminant depending if it has 0, 1 or 2 real roots

Answer 3

D > 0 = 2 roots
- crosses x axis 2 times
D = 0 = 1 root
- touches x axis once
D < 0 = no real roots
- doesn’t touch or cross the x axis

Question 4

Equation for discriminant

Answer 4

b^2 - 4(a)(c)