Solve by factoring when a is greater than one

The video tutorial demonstrates how to solve a quadratic equation using the AC method. It begins by explaining the importance of the absolute value of 'A' and why traditional factoring techniques may not apply. The instructor sets up the problem by rewriting the equation and then applies the AC method to find factors that multiply to a specific value and add to another. The tutorial continues with factoring by grouping, where common terms are identified and factored out. Finally, the zero product property is applied to solve the equation, resulting in the solutions for X. The tutorial concludes with a summary of the process and the solutions obtained.

What is the significance of the absolute value of A in the AC method?

• It is used to find the greatest common factor.

• It determines the sign of the solution.

• It helps decide whether traditional factoring techniques can be used.

• It indicates the number of solutions.

When adjusting the diamond method, what do you multiply to find the top number?

• A and the absolute value of B

• A and C

• A and B

• B and C

Which pair of numbers multiplies to 45 and adds to 14?

• 9 and 5

• 6 and 9

• 7 and 7

• 10 and 4

What is the purpose of rewriting the middle term in the quadratic equation?

• To simplify the equation

• To prepare for factoring by grouping

• To eliminate the constant term

• To change the equation to a linear form

In factoring by grouping, what is the first step?

• Combine all terms

• Factor out the greatest common factor

• Group the terms into pairs

• Solve for X directly

What is the zero product property used for in solving quadratics?

• To find the maximum value of the function

• To determine the axis of symmetry

• To solve for the roots of the equation

• To calculate the vertex

What are the solutions to the quadratic equation in the example?

• X = 3 and X = 5

• X = 3 and X = 5/3

• X = -3 and X = 5

• X = -3 and X = 5/3