Quadratic Inequalities and Graphs

The video tutorial explains how to solve quadratic inequalities by first factorizing the quadratic expression and then analyzing the graph to determine where the expression is less than or greater than zero. It covers the steps to factorize, find critical points, and interpret the graph to identify solution intervals. The tutorial includes examples and practice problems to reinforce understanding.

What is the first step in solving quadratic inequalities?

• Finding the vertex

• Setting the equation to zero

• Completing the square

• Graphing the equation

What is the first step in solving quadratic inequalities?

• Setting the equation to zero

• Graphing the equation

• Completing the square

• Finding the vertex

What is the first step in solving quadratic inequalities?

• Setting the equation to zero

• Graphing the equation

• Completing the square

• Finding the vertex

When factorizing a quadratic equation, what do you look for?

• The difference of the roots

• The factors of the constant term

• The product of the roots

• The sum of the coefficients

What are the roots of the equation x^2 + 2x - 15 = 0?

• -5 and 3

• 5 and -3

• -3 and 5

• 3 and -5

When factorizing a quadratic equation, what do you look for?

• The difference of the roots

• The factors of the constant term

• The product of the roots

• The sum of the coefficients

What are the roots of the equation x^2 + 2x - 15 = 0?

• 5 and -3

• -5 and 3

• -3 and 5

• 3 and -5

When factorizing a quadratic equation, what do you look for?

• The product of the roots

• The difference of the roots

• The sum of the coefficients

• The factors of the constant term

What are the roots of the equation x^2 + 2x - 15 = 0?

• -5 and 3

• 3 and -5

• 5 and -3

• -3 and 5

In a quadratic graph, where is the graph below zero?

• Above the y-axis

• On the x-axis

• Below the x-axis

• Above the x-axis