Polynomials: FOIL or NOT FOIL?

FOIL or NOT FOIL?

(x-3)(2x+7)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

(5x-11)(x+1)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

(5x-11) + (x+1)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

(x-3) - (2x+7)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

5(x-1) - (4x+9)

• FOIL - this is multiplication of two binomials, so distribute 5 then FOIL

• NOT FOIL - this is the addition of two binomials, so combine like terms immediately

• NOT FOIL - need to distribute the 5 and the negative and then combine like terms

FOIL or NOT FOIL?

(3x²-25) + (7x²+8x)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

(4x+13)(4x+14)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

-2(x-1) + (12x+5)

• FOIL - this is multiplication of two binomials, so distribute -2 then FOIL

• NOT FOIL - this is the addition of two binomials, so combine like terms immediately

• NOT FOIL - need to distribute the -2 and then combine like terms

Instead of using "FOIL", what is the name of another method that helped us multiply polynomials?

• Double Trouble

• Box Method (or Area Model)

• Box of Chocolates

• Plastic Wrap

Use Foil to solve

(2x-2)(4x-8)

Mathematical Equivalence

ON

Answer explanation

(2x-2)(4x-8)

1. 1. First - 2x times 4x = 8x²

2. 2.Outside- 2x times -8 = -16x

3. 3.Inside - -2 times 4x = -8x

4. 4. Last - -2 times -8 = 16

Combine like terms

8x²-24x+16