Factoring and Solving Quadratic Equations

The video tutorial covers solving equations using the zero product property. It begins with a simple factored equation and demonstrates how to split it into two separate equations to find solutions. The tutorial then explains the zero product property and applies it to various problems, including those requiring factoring and identifying the greatest common factor (GCF). The video concludes with a final problem and assigns homework for further practice.

What are the solutions to the equation A - 2 times A + 4 equals 0?

• A = 0 or A = 6

• A = -2 or A = 4

• A = 2 or A = -4

• A = 4 or A = -2

What is the zero product property?

• If A minus B equals 0, then A or B must be 0.

• If A plus B equals 0, then A or B must be 0.

• If A times B equals 0, then A or B must be 0.

• If A times B equals 0, then A and B must both be 0.

Which pair of numbers can be used to factor C squared plus 11C plus 28?

• 4 and 7

• 3 and 9

• 2 and 14

• 1 and 28

What is the purpose of the check line in factoring?

• To check if the equation has a GCF.

• To confirm the equation is equal to zero.

• To ensure the factors multiply back to the original equation.

• To verify the equation is in standard form.

What is the first step in factoring an equation with a GCF?

• Factor out the GCF.

• Subtract a constant from both sides.

• Add a constant to both sides.

• Multiply both sides by the GCF.

What are the solutions to the equation X squared plus 4X minus 21 equals 0?

• X = 3 or X = -7

• X = -3 or X = 7

• X = 7 or X = -3

• X = 0 or X = 21

What should you do if an equation is not in standard form?

• Subtract terms from both sides to make it equal to zero.

• Multiply terms to make it equal to zero.

• Divide terms to make it equal to zero.

• Add terms to both sides to make it equal to zero.

Which of the following is a correct factorization of X squared plus 4X minus 21?

• (X + 3)(X - 7)

• (X - 3)(X + 7)

• (X + 7)(X - 3)

• (X - 7)(X + 3)

What is the GCF of the terms in the equation X squared plus 2X?

• X

• 2X

• 2

• X squared

What is the homework assignment related to this video?

• Complete problems on page 187.

• Finish problems on pages 188 and 189.

• Solve additional problems on page 190.

• Review notes from the previous class.