Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x2=56x ?(1 point) Responses Put the quadratic in standard form 7x2+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 Put the quadratic in standard form 7 x squared plus 56 x equals 0 Factor out the GCF 7 x left parenthesis x plus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x plus 8 equals 0 The solutions are x equals negative 8 and x equals 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 x minus 8 equals 0 Factor out the GCF No GCF Set each factor equal to zero x minus 8 equals 0 The solutions are x equals 8 Put the quadratic in standard form 7x2−56x=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 Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals negative 7 and x equals 8 Put the quadratic in standard form 7x2−56x=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=8Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8 Skip to navigation

Question

Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x2=56x ?(1 point) Responses Put the quadratic in standard form 7x2+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 Put the quadratic in standard form 7 x squared plus 56 x equals 0 Factor out the GCF 7 x left parenthesis x plus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x plus 8 equals 0 The solutions are x equals negative 8 and x equals 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 x minus 8 equals 0 Factor out the GCF No GCF Set each factor equal to zero x minus 8 equals 0 The solutions are x equals 8 Put the quadratic in standard form 7x2−56x=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 Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals negative 7 and x equals 8 Put the quadratic in standard form 7x2−56x=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=8Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8 Skip to navigation

Answer 1

The correct steps to factor out the GCF and solve the quadratic equation 7x2=56x are:

Put the quadratic in standard form: 7x2 - 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.

Therefore, the correct table is:
Put the quadratic in standard form: 7x2 - 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.

Answer 2

To factor out the greatest common factor (GCF) and solve the quadratic equation 7x^2 = 56x, you need to follow these steps:

1. Put the quadratic equation in standard form:
7x^2 + 56x = 0

2. Factor out the GCF from the equation:
GCF of 7x^2 and 56x is 7x, so divide each term by 7x:
7x(x + 8) = 0

3. Set each factor equal to zero to find the solutions:
1st factor: 7x = 0 --> x = 0
2nd factor: x + 8 = 0 --> x = -8

Therefore, the correct table of steps 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=−8 and x=0.

Answer 3

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

1. Put the quadratic in standard form: 7x^2+56x=0
2. Factor out the GCF: 7x(x+8)=0
3. Set each factor equal to zero: 7x=0 and x+8=0
4. Solve for x: x=0 and x=-8