Factoring and Coefficients in Algebra

The video tutorial introduces the concept of guess and check factoring, a method requiring patience and practice. It reviews previous lessons on factoring trinomials and provides a detailed explanation of the guess and check process. The tutorial includes examples and practice problems, gradually increasing in complexity, to help students understand and apply the method effectively. The session concludes with advanced challenges to test students' mastery of the technique.

What is the main focus of the lesson introduced in the beginning?

• Graphing quadratic functions

• Solving linear equations

• Guess and check factoring

• Simplifying expressions

In the first example, what is the coefficient in front of x squared?

• 4

• 1

• 2

• 3

What is the first step in the guess and check method?

• Add the coefficients

• Multiply the coefficients

• Divide the coefficients

• Subtract the coefficients

In the second example, what are the factors of 18 that are considered?

• 1 and 18, 2 and 9, 3 and 6

• 1 and 9, 2 and 8, 3 and 5

• 1 and 6, 2 and 7, 3 and 4

• 1 and 12, 2 and 10, 3 and 8

What is the correct factorization for the second example?

• 2x + 3 and x + 6

• 2x + 6 and x - 3

• 2x - 6 and x + 3

• 2x - 3 and x - 6

In the third example, what are the possible pairs for 15x squared?

• 2 and 8, 4 and 6

• 1 and 15, 3 and 5

• 1 and 10, 3 and 5

• 1 and 15, 2 and 7

What is the correct factorization for the third example?

• 3x - 2 and 5x - 1

• 3x + 2 and 5x + 1

• 3x + 1 and 5x + 2

• 3x - 1 and 5x + 2

In the fourth example, what are the possible pairs for 10x squared?

• 1 and 10, 2 and 5

• 1 and 8, 2 and 6

• 1 and 12, 2 and 7

• 1 and 15, 3 and 5

What is the correct factorization for the fourth example?

• 2x - 6 and 5x + 5

• 2x - 5 and 5x - 6

• 2x + 5 and 5x + 6

• 2x + 6 and 5x - 5

What are the solutions for the equation in the fourth example?

• 1/5 and -6

• 1/2 and -3

• 1/4 and -5

• 1/3 and -4