The video tutorial explains how to solve a quadratic equation by setting it to zero and checking its factorability using the a*C method. It involves listing factors of 12 to find the correct pair that adds to -7. The equation is then rewritten, and the box method is used to solve it. Finally, the zero product property is applied to find the solutions, which are x = 2/3 and x = 1/2.

What is the first step in determining if a quadratic equation is factorable?

• Set the equation equal to zero

• Find the roots of the equation

• Use the quadratic formula

• Graph the equation

Which pair of factors of 12 add up to -7 in the equation 6x^2 - 7x + 2 = 0?

• -3 and -4

• -2 and -5

• -4 and -3

• -6 and -1

What method is used to factor the quadratic equation after rewriting it?

• Synthetic division

• Box method

• Graphing method

• Completing the square

What is the purpose of using the zero product property in solving quadratic equations?

• To find the x-intercepts or roots

• To determine the axis of symmetry

• To calculate the discriminant

• To find the vertex of the parabola

What are the solutions to the equation 6x^2 - 7x + 2 = 0 after factoring?

• x = 2/3 and x = 1/2

• x = 3/2 and x = 1/3

• x = -1/2 and x = -2/3

• x = 1 and x = 2