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3. Use the FOIL method to multiply binomials.
Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)

F

O

I

L

Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (4 points: 1 point each)
A. (3x + 7)(2x – 5) B. (x2 + 2x)(5x2 – 3x)

______ + _______ + _______ + _______
______ + _______ + _______ + _______


______________________



______________________

C. (5x + 4)(5x – 4) D. (x2 – 7)(x2 – 4)

______ + _______ + _______ + _______
______ + _______ + _______ + _______


______________________

______________________

Answer :

F = First
O = Outside
I = Inside
L = Last

Answer:

B: 5x^4 + 7x^3 - 6x^2

Explanation:

(x2 + 2x)(5x2 – 3x)

(x^2 + 2x) + (5x^2 – 3x) + (5x^4 – 3x^3) + (10x^3 – 6x^2)

5x^4 + 7x^3 – 6x^2

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