Question

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain. 1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12

Answer 1

{x +4} {x+3} =0

Explanation:

The equation is given as :

x² + 7x + 12 =0

Find multiples of 12 that can add to give +12 ------3 * 4

The equation can then be written as;

x² + 3x + 4x + 12 = 0 ------factorize

x{ x + 3 } + 4 { x +3 } = 0

{x+4 } {x + 3} = 0

Answer : {x +4} {x+3} =0