Quiz on Solving Quadratic Equations by Factoring

This video tutorial covers solving quadratic equations by factoring, emphasizing the zero factor property. It demonstrates factoring techniques, solving equations, and verifying solutions graphically using a calculator. The tutorial includes example problems and introduces advanced factoring methods for complex equations.

What is the zero factor property used for in solving quadratic equations?

• To graph equations

• To determine if a product is zero

• To solve linear equations

• To find the greatest common factor

When applying the zero factor property, what must be true if the product of two numbers is zero?

• The numbers are equal

• At least one number is zero

• Both numbers are negative

• Both numbers are positive

What is the first step in factoring a quadratic equation?

• Graphing the equation

• Using the quadratic formula

• Looking for the greatest common factor

• Finding the x-intercepts

How can you verify the solutions of a quadratic equation graphically?

• By calculating the vertex

• By finding the y-intercepts

• By checking the slope of the graph

• By identifying the x-intercepts

What are the factors of x^2 - 3x - 10 that add up to -3?

• -3 and +10

• +5 and -2

• -5 and +2

• +3 and -10

What is a difference of squares in quadratic equations?

• A quadratic with a leading coefficient of one

• A quadratic that can be factored into terms with opposite signs

• A quadratic that can be factored into two identical terms

• A quadratic with no real solutions

Which method is NOT mentioned for factoring quadratics with a leading coefficient not equal to one?

• Trial and error

• Completing the square

• Grouping technique

• Bottoms up

In the trial and error method, what must the first positions come from?

• Factors of the constant term

• Factors of the leading coefficient

• Factors of the middle term

• Factors of the entire equation

What is the graphical method used to find fractional solutions?

• Using the intercept function

• Using the zero option

• Using the trace function

• Using the zoom function

What is the x-intercept of the equation 3x^2 + 4x - 7 = 0?

• 7/3

• -1

• 1

• -7/3