Unit 1 - Algebra and Quadratics Flashcards
1
Q
Completing the square
A
(x+p)^2-p^2
2
Q
Solving quadratic equations on Classwiz
A
Main menu - equation - polynomial - ax2 + bx + c - enter values for a b c - press = to get solutions and x and y co-ordinates
3
Q
Finding the x intercept of a quadratic
A
y = 0
4
Q
Finding y intercept of a quadratic
A
x = 0
5
Q
Finding the vertex of a quadratic
A
Complete the square in the form y = (x+d)^2 + e.
The vertex has the co-ordinates (-d,e)
6
Q
Discriminant
A
b^2 - 4ac
7
Q
Discriminant when there is two distinct roots
A
b^2 - 4ac > 0
8
Q
Discriminant when there is one real root (repeated)
A
b^2 - 4ac = 0
9
Q
Discriminant when there is no real root
A
b^2 - 4ac < 0
10
Q
Factor theorem
A
If for the polynomial p(x), p(a) = 0 then (x-a) is a factor of p(x).
