Factoring Trinomials with the AC Method

What does the AC method involve in terms of coefficients?

• Subtracting the constant from the leading coefficient

• Multiplying the leading coefficient by the constant term

• Adding the leading and constant coefficients

• Multiplying the leading coefficient by the middle coefficient

What is the product of the leading coefficient and the constant term in the first example?

• 3

• 4

• 6

• 12

Which pair of factors of the product adds up to the middle coefficient in the first example?

• 2 and 4

• 1 and 5

• 1 and 6

• 3 and 3

What is the common factor pulled out from the first group in the first example?

• 2X

• X

• 3X

• 4X

What is the simplified form of the expression after factorization by grouping in the first example?

• 3X + 1 times X + 2

• X + 2

• 3X + 1

• X + 3 times 2X + 1

In the second example, what is the product of the leading coefficient and the constant term?

• 4

• -4

• 6

• -6

Which factors of the product subtract to the middle coefficient in the second example?

• 3 and 4

• 1 and 6

• 1 and 5

• 2 and 3

What is the common factor in the terms after grouping in the second example?

• 2X - 3

• 3X + 2

• X + 1

• X - 1

How can you determine if a quadratic expression is not factorable using the AC method?

• If the leading coefficient is zero

• If no pair of factors of the product can add or subtract to the middle coefficient

• If the product of the leading coefficient and the constant term is zero

• If the constant term is zero

What is the product of the leading coefficient and the constant term in the non-factorable example?

• -6

• 11

• 6

• -11