Factoring and Solving Quadratic Expressions

The video tutorial explains how to approach state test questions involving quadratic expressions. It covers reading and understanding the question, factoring the expression, finding the zeros, and solving the equation. The tutorial emphasizes the relationship between zeros, solutions, and x-intercepts, and guides students through selecting the correct answers.

What is the first step when approaching a state test question?

• Guess the answer.

• Ask a friend for help.

• Solve the equation immediately.

• Read and understand the question.

What type of expression is 3x squared minus 33x minus 180?

• Cubic expression

• Linear expression

• Quadratic expression

• Exponential expression

What do zeros of a function represent?

• The y-intercepts

• The maximum points of the function

• The slope of the function

• The x-intercepts or solutions

Why do we set the expression equal to zero?

• To change the expression type

• To find the y-intercepts

• To simplify the expression

• To find the zeros or solutions

What is the greatest common factor in the expression 3x squared minus 33x minus 180?

• 1

• 3

• 11

• 60

What is the result after factoring out the greatest common factor from the expression?

• x squared minus 11x minus 60

• 3x squared minus 11x minus 60

• x squared minus 33x minus 60

• 3x squared minus 33x minus 180

Which pair of factors of 60 adds up to -11?

• 15 and -4

• 6 and 10

• 2 and 30

• 1 and 60

What are the solutions when x minus 15 and x plus 4 are set to zero?

• x = 15 and x = -4

• x = -15 and x = 4

• x = 15 and x = 4

• x = -15 and x = -4

How should you enter the answers in the clicker for the question?

• Enter '15, -4'

• Enter 'd, h'

• Enter '15 -4'

• Enter 'd h'