Solving Quadratics by Factoring Techniques

What is the primary method discussed in the video for solving quadratic equations?

• Factoring and using the zero product property

• Using the quadratic formula

• Completing the square

• Graphing the equation

What must you understand before watching this video?

• How to complete the square

• How to graph equations

• How to use the quadratic formula

• How to factor

According to the zero product property, if (a * b = 0), what must be true?

• Both a and b are zero

• Either a or b is zero

• Neither a nor b is zero

• a and b are both positive

In the example (3 * (2x + 1) = 0), what value must (2x + 1) be?

• 1

• 2

• -1

• 0

When solving (3 * (2x + 1) = 0), what is the value of x?

• -1

• 1

• 1/2

• -1/2

In the equation ((x - 3)(x + 8) = 0), what are the solutions for x?

• x = 3 and x = 8

• x = -3 and x = -8

• x = -3 and x = 8

• x = 3 and x = -8

What is the first step in solving a quadratic equation that does not initially equal zero?

• Add a constant to both sides

• Subtract a constant from both sides

• Multiply both sides by a constant

• Rearrange the equation to equal zero

In the example (6x^2 - 7x + 3 = 0), what are the factors of 6 that add up to -7?

• -3 and -2

• -6 and -1

• 6 and 1

• 3 and 2

After factoring (6x^2 - 7x + 3 = 0), what are the solutions for x?

• x = 1/2 and x = 3

• x = -1/2 and x = -3

• x = 1/2 and x = -3

• x = -1/2 and x = 3

What is the final step after factoring a quadratic equation to solve for x?

• Set each factor equal to zero and solve

• Multiply the factors together

• Divide the factors by a constant

• Add the factors together