Which of the following tables shows that the correct steps to factor out the GCF and solve the quadratic equation 7x^2 = 56x?

A. The table shows: Put the quadratic in standard form - 7x^2 + 56x = 0. Factor out the GCF - 7x (x + 8) = 0. Set each factor equal to zero - 7x = 0 and x + 8 = 0. The solutions are x = -8 and x = 0.

B. The table shows: Put the quadratic in standard form - 7x^2 - 56x = 0. Factor out the GCF - 7x (x - 8) = 0. Set each factor equal to zero - 7x = 0 and x - 8 = 0. The solutions are x = 8 and x = 8.

C. The table shows: Put the quadratic in standard form - 7x^2 - 56x = 0. Factor out the GCF - 7x (x - 8) = 0. Set each factor equal to zero - 7x = 0 and x + 8 = 0. The solutions are x = -7 and x = 8.

D.The table shows: Put the quadratic in standard form - x - 8 = 0. Factor out the GCF - no GCF. Set each factor equal to zero - x - 8 = 0. The solutions are x = 8.

1 answer

A. The table shows: Put the quadratic in standard form - 7x^2 + 56x = 0. Factor out the GCF - 7x (x + 8) = 0. Set each factor equal to zero - 7x = 0 and x + 8 = 0. The solutions are x = -8 and x = 0.