Factoring Polynomials with GCF Techniques

What is the first step in factoring the expression 4x^2 - 3x?

• Identify the GCF of the terms

• Rewrite the expression as a trinomial

• Distribute the X

• Simplify the coefficients

How do you verify the correctness of a factored expression?

• By using the distributive property to expand

• By graphing the expression

• By adding the terms

• By substituting values for x

What common factors are identified in the trinomial 10y^3 + 20y^2 - 5y?

• 2 and 5

• 5, y, and y^2

• 10 and y^2

• 5 and y

After factoring out the GCF in the trinomial, what is the coefficient of y in the simplified expression?

• 2

• 4

• 5

• 10

What is the result of dividing 10y^2 by 5y?

• y

• 5y

• 2y^2

• 2y

Which method can be used to check the factorization of a trinomial?

• Division method

• Distributive property

• Subtraction method

• Addition method

What is the importance of making the '1' visible in the expression after factoring?

• To ensure all terms are accounted for when distributing back

• To balance the equation

• To identify the GCF

• To simplify the expression further

What page number contains the practice problems for this lesson?

• Page 560

• Page 547

• Page 555

• Page 530

How many practice problems are assigned on page 555?

• 15 problems

• 20 problems

• 5 problems

• 10 problems

What range of problems is assigned on page 547?

• 17 to 20, 25 to 30

• 1 to 10, 15 to 20

• 10 to 15, 20 to 30

• 5 to 15, 20 to 25