Learning to solve by factoring when a is not 1 ex 12, y = 3x^2 + 7x + 2

The video tutorial demonstrates how to solve a quadratic equation by factoring using the AC method. It emphasizes setting the equation to zero and addresses common misconceptions. The instructor introduces the square method, explaining how to rearrange terms and find factors. Finally, the quadratic is solved using the zero product property, providing a comprehensive understanding of solving quadratics when the leading coefficient is not one.

What is the first step in solving a quadratic equation by factoring?

• Set the equation equal to zero

• Multiply the coefficients

• Find the square root

• Divide by the leading coefficient

In the AC method, what do you need to find after calculating the product of a and c?

• The difference between a and c

• The sum of a and c

• The factors that multiply to ac and add to b

• The quotient of a and c

Which of the following is a common misconception when factoring quadratics?

• Believing the product of factors is always positive

• Using the Zero Product Property

• Assuming the factors are always integers

• Thinking the middle term can be split arbitrarily

What is the purpose of rearranging terms in the square method?

• To convert the equation to vertex form

• To simplify the equation

• To find the sides of a rectangle representing the quadratic

• To eliminate the constant term

How do you determine the sides of the rectangle in the square method?

• By using the coefficients of the quadratic

• By dividing the quadratic by its leading coefficient

• By finding the roots of the equation

• By ensuring the product of the sides equals the area