Understanding Zero Product Property and Factoring

What is the main focus of Unit 4b?

• Understanding the concept of derivatives

• Learning about linear equations

• Solving equations using the zero product property

• Exploring the properties of circles

According to the zero product property, if a product of two numbers is zero, what must be true?

• Both numbers must be zero

• At least one of the numbers must be zero

• The numbers must be equal

• The numbers must be positive

What is the first step in solving a quadratic equation using the zero product property?

• Factor the equation

• Find the x-intercepts

• Multiply the terms

• Set the equation equal to zero

In the example of solving 6x^2 - x - 3 = -1, what is the first step?

• Divide both sides by 3

• Subtract 1 from both sides

• Add 1 to both sides

• Multiply both sides by 6

What factoring technique is used in the example problem with 6x^2 - x - 3?

• Completing the square

• Slide divide bottoms up

• Difference of squares

• Quadratic formula

When solving a quadratic equation, what should you do after factoring the equation?

• Add the factors together

• Multiply the factors

• Divide the factors by the highest coefficient

• Set each factor equal to zero

In the example of x^2 - 11x + 28 = 0, what are the factors of 28 that add up to 11?

• 1 and 28

• 2 and 14

• 4 and 7

• 3 and 9

What is the GCF in the example problem with 3x^2 - 12x - 36?

• 3

• 6

• 12

• 9

How many solutions can you expect if the highest power of x in an equation is 3?

• 1

• 4

• 2

• 3

What is the relationship between the highest power of x and the number of solutions in an equation?

• The number of solutions is double the highest power

• The number of solutions is half the highest power

• The number of solutions is equal to the highest power

• The number of solutions is always one less than the highest power