Year 12 maths · A.1 · Quadratic Equations
Solve quadratic equations by factoring
Find two numbers that multiply to the constant and add to the x coefficient.
See worked examples
Solve by factoring: x² − 25 = 0
Answer: Smaller root: -5; Larger root: 5
Solve by factoring: x² − 4x − 45 = 0
Answer: Smaller root: -5; Larger root: 9
Solve by factoring: x² − 2x − 35 = 0
Answer: Smaller root: -5; Larger root: 7
Tip: Find two numbers that multiply to the constant and add to the x coefficient.
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