GCSE Maths (Edexcel)
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Algebra
Solving Equations and Inequalities
Solving by Factorisation
6:56
Quadratic Equations
Spec
A4
A18
- Any number multiplied by zero will give an answer of zero
- Double brackets can be expanded by multiplying all the terms in the first bracket by all the terms in the second bracket
- If one of the brackets in a double bracket equals zero, then the total is zero
- Quadratic equations can be solved by factorizing into double brackets and finding values of x that make one of the brackets equal to zero
- Quadratic equations can have up to two solutions
- To factorize a quadratic into double brackets, list the factor pairs of the constant term and find the pair that adds to the coefficient of the linear x term
- Write the factorized quadratic using the chosen factor pair
- Solve the quadratic by deducing which values of x will make each bracket equal to zero
- Double check the solutions by substituting them back into the original quadratic equation and ensuring the left hand side equals zero
- Some quadratic equations may have repeated solutions if both brackets equal zero
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