Question

factor the polynomial by grouping. x(x - 3) + 6(x - 3)

Explanation:

Step1: Identify common factor

Both terms have a common factor of \((x - 3)\).

Step2: Factor out common factor

Using the distributive property \(ab+ac=a(b + c)\), where \(a=(x - 3)\), \(b = x\), and \(c = 6\), we get \((x - 3)(x+6)\).

Answer:

\((x - 3)(x + 6)\)