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.
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.
The correct answer is A. The steps in that table correctly factor out the GCF and solve the quadratic equation 7x^2 = 56x.
The correct steps to factor out the GCF and solve the quadratic equation 7x^2 = 56x are as follows:
A. The table shows the correct steps:
1. Put the quadratic in standard form: - 7x^2 + 56x = 0.
2. Factor out the greatest common factor (GCF): - 7x (x + 8) = 0.
3. Set each factor equal to zero: - 7x = 0 and x + 8 = 0.
4. Solve for x: The solutions are x = -8 and x = 0.
Therefore, the correct answer is option A.