Factoring by Grouping Techniques and Applications

What is the second most difficult subject to learn according to the introduction?

• Mathematics

• Science

• History

• English

What should you always do when factoring a polynomial?

• Factor partially

• Factor completely

• Use only one method

• Ignore the GCF

What is the first step in factoring a polynomial?

• Check for prime polynomial

• Rearrange the terms

• Factor out the GCF

• Factor by grouping

In the example 10x - 20, what is the GCF?

• 2

• 20

• 5

• 10

How many terms are in the expression X^3 * (A + B) - 5 * (A + B)?

• One

• Six

• Two

• Four

What should you do if the first term inside the parentheses is negative?

• Rearrange the terms

• Ignore the sign

• Factor out a negative number

• Factor out a positive number

In the problem 8x^3 - 12x^2 + 6x - 9, what is factored out from the first group?

• 6x

• 4x^2

• 2x

• 3x

What is the GCF in the expression 7x^3 - 14x^2 - x + 2?

• x + 2

• 7x

• 7x^2

• x - 2

What is the final factored form of x^3 - 5x^2 - 4x + 20?

• (x - 5)(x^2 + 4)

• (x + 5)(x^2 + 4)

• (x - 5)(x^2 - 4)

• (x + 5)(x^2 - 4)

What should you do if the binomials in the parentheses are not identical?

• Check for prime polynomial

• Rearrange the terms

• Factor out a different GCF

• All of the above