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Solve the quadratic equation 5x ^ 2 + 75x = 0 by factoring out the GCF The solutions are x = - 15 and x = - 5 The solutions are x = - 15 and x = 0 The solutions are x = 0 and x = 15 The solutions are x = 0 and x = 5

The correct answer is:

The solutions are x = 0 and x = - 15

Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x ^ 2 = 56 * x' point ) 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 = 0an * dx + 8 = 0 The solutions are x = - 8an * dx = 0 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 Put the quadratic in standard form 7x ^ 2 - 56x = 0 Factor the GCF 7x(x - 8) = 0 Set each factor equal to zero 7x = 0an * dx - 8 = 0 The solutions are x = 0an * dx = 8 Put the quadratic in standard form 7x ^ 2 - 56x = 0 Factor out the GCF 7x(x - 8) = 0 Set each factor equal to 7x = 0 and x - 8 = 0 The solutions x = - 7 and x = 8

The correct table of steps to factor out the GCF and solve the quadratic equation 7x^2 - 56x = 0 is:

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 = 0 and x = 8

Hyung-eun is solving the quadratic equation x ^ 2 - 4x - 12 = 0 by grouping. Her work is shown below. At which step does Hyung-eun first make an error? x ^ 2 - 4x - 12 = 0 Step1: x ^ 2 + (- 6x) + 2x - 12 = 0; Step * 2 / (x ^ 2 + (- 6x)) + (2x - 12) = 0; Step * 3 / x * (x + (- 6)) + 2(x - 6) = 0; x(x - 6) + 2(x - 6) = 0; Step * 4 / (x + 6) * (x - 2) = 0; Sten 5:; x + 6 = 0 or x - 2 = 0; x = - 6 or x = 2 point) Step 1 Step 3 4 Step 2

Hyung-eun makes the error in Step 2 when she writes (x ^ 2 + (- 6x)) + (2x - 12) = 0. The correct step should be (x ^ 2 - 6x) + (2x - 12) = 0.

Which of the following quadratic equations can be solved by grouping? x ^ 2 - 12x + 18 = 0; x ^ 2 - 4x - 8 = 0; x ^ 2 + 8x - 22 = 0; x ^ 2 + 10x + 21 = 0

The quadratic equation that can be solved by grouping is: x^2 - 4x - 8 = 0.