Factoring the Greatest Common Factor in Polynomials

Why is factoring considered an essential skill in algebra?

• It is a skill that is rarely used in future math courses.

• It is only used in algebra 1.

• It is a fundamental skill used in many future math courses.

• It is not important for future math courses.

What is the first step in factoring out the greatest common factor (GCF) of 4x + 12x^2?

• Write out the factors of each term.

• Subtract the terms.

• Divide both terms by 2.

• Add the terms together.

What should you do if you factor out an entire term?

• Ignore it.

• Write a placeholder 1 in its place.

• Leave the space blank.

• Write a zero in its place.

What is the GCF of 10x^5 + 4x^3?

• 2x^2

• 2x^3

• 5x^3

• 10x^5

How do you check if you have factored correctly?

• Add the terms together.

• Multiply the factored terms back through.

• Subtract the terms.

• Divide the terms.

What is the first thing to look for when factoring multiple terms?

• The variables.

• The coefficients.

• The exponents.

• The constants.

Why can't you pull out an 'A' in the expression 15aB^2 + 10a^2B + 5B?

• Because 'B' is a constant.

• Because 'A' is not a common factor in all terms.

• Because 'A' is a constant.

• Because 'B' is not a common factor in all terms.

What is the GCF of 2x^2(X-1) - 8(X-1)?

• 2x^2

• 2(X-1)

• 8x^2

• 8(X-1)

What is the factored form of x^2 - 4?

• (x+3)(x-3)

• (x+1)(x-1)

• (x+2)(x-2)

• (x+4)(x-4)

What is the GCF of 4x^3y - 5x^2y^2 - x^2y + 8xyz?

• xy

• 4xy

• x^2y

• 8xyz