Solve by factoring when a is greater than one

The video tutorial explains how to solve quadratic equations by factoring, specifically using the box method. It begins with checking for common factors and setting the equation to zero. The box method is introduced as a visual tool to represent expressions as areas, facilitating the identification of factors. The tutorial guides through finding factors that multiply and add to specific values, using visual representation to determine side lengths of the box. Finally, the equation is solved by applying the zero product property, yielding the solutions.

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

• Find the common factor.

• Set the equation equal to zero.

• Use the quadratic formula.

• Graph the equation.

When using the box method, what do you need to find for the middle term?

• Two numbers that multiply to 'a' and add to 'c'.

• Two numbers that multiply to 'b' and add to 'c'.

• Two numbers that multiply to 'c' and add to 'b'.

• Two numbers that multiply to 'a' and add to 'b'.

In the box method, what does the visual representation help you find?

• The side lengths of the box.

• The roots of the equation.

• The vertex of the parabola.

• The axis of symmetry.

What is the purpose of rewriting the expression in factored form?

• To apply the zero product property.

• To find the maximum value.

• To determine the axis of symmetry.

• To simplify the equation.

Which of the following is a correct factorization of the expression 3x^2 - 2x - 5?

• (3x - 1)(x + 5)

• (3x + 1)(x - 5)

• (3x + 5)(x - 1)

• (3x - 5)(x + 1)

What does the zero product property allow you to do?

• Multiply the factors together.

• Add the factors together.

• Set each factor equal to zero.

• Divide the factors by zero.

What are the solutions for the equation 3x^2 - 2x - 5 = 0?

• x = 1/3 or x = -5

• x = 3/5 or x = 1

• x = -5/3 or x = 1

• x = 5/3 or x = -1