Factoring Polynomials by Grouping Techniques

What is the main technique used for factoring expressions with four terms?

• Difference of squares

• Factoring by grouping

• Factoring binomials

• Factoring trinomials

Why can't we factor out a GCF from the given four terms in the example?

• They are not polynomials

• They are already factored

• They do not share any common factors

• They share a common factor

What is the first step in factoring by grouping?

• Factor out the GCF from all four terms

• Group the first two terms and the last two terms

• Combine all terms into one expression

• Divide the terms by their coefficients

What is the GCF of the first two terms in the example?

• v

• v^2

• 5

• 2

What is the GCF of the last two terms in the example?

• 2

• 5

• v^2

• v

What is the resulting expression after factoring out the GCF from the first two terms?

• 5v - 2

• v^2 + 5

• v^2(5v - 2)

• 5(v - 2)

What should be the same in both groups after factoring out the GCF?

• The exponents

• The factored terms

• The variables

• The coefficients

What do you do after factoring out the GCF from both groups?

• Combine the factored terms

• Multiply the terms

• Divide the terms by their coefficients

• Add the terms together

What is the final factored form of the expression in the example?

• 5v - 2

• v^2 + 5

• 5v - 2 times v^2 + 5

• v^2(5v - 2)

What is the purpose of factoring by grouping?

• To simplify expressions with two terms

• To factor expressions with four terms

• To find the roots of polynomials

• To solve quadratic equations