Question

Explain, in complete sentences, how to factor 4x2 – 4x – 48. Explain how your factors could be checked for accuracy

Answer 1

4x2 – 4x – 48.
4(x^2-x-12)
4(x^2-4x+3x-12)
4(x(x-4)+3(x-4))
4(x+3)(x-4)

Answer 2

You may check that the factors are accurate by substituting the values of x from the factors ( -3 and 4) into the original equation and see if it evaluates to 0.