Factoring Trinomials with a Leading Coefficient of 1

What does the FOIL method stand for in the context of multiplying binomials?

• First, Outer, Inner, Last

• First, Open, Inner, Last

• Full, Open, Inner, Last

• First, Outer, Inside, Line

In the multiplication of (x + 3)(x + 12), what is the product of the last terms?

• 12

• 45

• 36

• 15

Which pair of factors adds up to 15 and multiplies to 36?

• 1 and 15

• 3 and 12

• 6 and 6

• 2 and 18

What is the purpose of listing all factor pairs methodically when factoring a trinomial?

• To find the highest common factor

• To apply the FOIL method

• To simplify the trinomial quickly

• To ensure all possible combinations are considered

How do you determine the signs of the factors in a trinomial with a positive last term?

• The signs are always positive

• The signs depend on the middle term

• Both factors must have the same sign

• Both factors must have different signs

What does a negative product in a trinomial indicate about the signs of its factors?

• The signs of the factors do not matter

• One factor is positive and the other is negative

• Both factors are positive

• Both factors are negative

When factoring a trinomial, why is it important to first check for a Greatest Common Factor (GCF)?

• It simplifies the trinomial, making it easier to factor

• It changes the signs of the terms

• It eliminates the need for the FOIL method

• It increases the number of factors

In the expression 8y^2 - 32y + 24, what is the GCF?

• 4

• 8

• 16

• 24

What is the result of factoring the trinomial x^2 + 7x + 6?

• (x + 1)(x + 6)

• (x - 1)(x + 6)

• (x - 1)(x - 6

• x + 1)(x + 6

Which pair correctly factors the quadratic expression x^2 - 5x - 6?

• (x + 6)(x - 1)

• (x + 6)(x + 1)

• (x - 6)(x - 1)

• (x - 6)(x + 1)