Question

Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x2=56x
?(1 point)

This table outlines the steps to solve a quadratic equation, showing the progression from standard form to the final solutions.
Steps Solution
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


This table outlines the steps to solve a quadratic equation, showing the progression from standard form to the final solutions.
Steps Solution
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


This table outlines the steps to solve a quadratic equation, showing the progression from standard form to the final solutions.
Steps Solution
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


This table outlines the steps to solve a quadratic equation, showing the progression from standard form to the final solutions.
Steps Solution
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

Answer 1

The first table.

Reason: 7x^2 − 56x = 0 factors as 7x(x − 8) = 0, so 7x = 0 ⇒ x = 0 and x − 8 = 0 ⇒ x = 8. The other tables have sign or solution errors.