Factorisation of quadratics
Algebraic expressions · Mathematics
Study notes
Q: Factor x^2 + 7x + 12 and 2x^2 + 7x + 3. Part A: Need two numbers: multiply to 12, add to 7. Try 3, 4: 3x4 = 12, 3+4 = 7. So = (x + 3)(x + 4). Part B: ac = 6. Need pq = 6, p + q = 7: p = 6, q = 1. Split: 2x^2 + 6x + x + 3 = 2x(x + 3) + 1(x + 3) = (2x + 1)(x + 3).