Maths Quadratics (copy)

1. Find the closest perfect square by dividing the coefficient of x by 2.

2. Expand the perfect square expression.

3. Add a minus to balance out expanded equation

4. Add this minus to the other non X

1. Find the closest perfect square by dividing the coefficient of x by 2.

2. Expand the perfect square expression.

3. Add a minus to balance out expanded equation

4. Add this minus to the other non X

Completing the Square

1. Write out the factor pairs of the last number (c).

2. Find a pair of factors that + to give the middle number (b) and multiply to give the last number (c).

3. Write two brackets and put the variable at the start of each one.

4. Write one factor in the first bracket and the other factor in the second bracket. The order isn’t important, but the signs of the factors are.

Factorising

x=(−b+√b²−4ac)/2a

x=(−b−√b²−4ac)/2a

1. Identify the value of a, b and c.

2. Substitute these values into the quadratic formula.

3. Use a calculator to solve the equation with a + and then with a −.

Quadratic Formula

Graphs of Quadratic Function