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12.4 Multiplying Binomials

12.4 Multiplying Binomials. You will multiply binomials. Essential Question: How do you use Area Models and the FOIL method to multiply binomials?. 1. 6. c d. (. ) 4. ANSWER. ANSWER. c d. 2. 5. 8. 20. 2 y 2. 5 x 2. 3 x 5. 15 x 7. (. ). (. ). –. –. –. 2. ANSWER. y 9.

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12.4 Multiplying Binomials

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  1. 12.4 Multiplying Binomials You will multiply binomials. Essential Question: How do you use Area Models and the FOIL method to multiply binomials?

  2. 1. 6. c d ( )4 ANSWER ANSWER c d 2 5 8 20 2y2 5x2 3x5 15x7 ( ) ( ) – – – 2. ANSWER y9 12m2 2y11 ( ) ( ) – – ( )4 3rs 3. ANSWER 5a 2a 6 10a2 30a ( ) + + 4. 3m 4m 3 ( ) ANSWER – – 9m + 5. 81r4s4 ANSWER Daily Warm-Up Exercises For use with pages 704–709 For use with pages xxx–xxx Simplify the expression.

  3. Independent Practice Check Algebra Tiles Worksheet

  4. (2x + 3)(x + 3) First (2x)(x) = 2x2 Outside (2x)(3) = 6x Inside (3)(x) = 3x Last (3)(3) = 9 2x2 + 9x + 9 Multiplying Binomials - FOIL

  5. Use Area Models (Punnett Squares) to organize your Distributing • (A + B)(C + D) Multiplying Binomials - FOIL

  6. Example 1 Multiple Choice Practice 4? + SOLUTION Find the product 2x5 3x4 and simplify. – ( ) ( ) + What is the product of 2x5 and 3x – 5x 1 6x2 7x 20 – – – 6x2 20 6x2 8x 20 – – +

  7. Example 1 Multiple Choice Practice 2x 5 Write the first binomial. – 3x 4  Write the second binomial. + 8x 20 Multiply 4 and 2x – 5. – 6x2 15x 5. Line up like terms. Multiply 3x and 2x – – 6x2 7x 20 Add 8x 20 and 6x2 15x. – – – – The product of 2x 7x 20. 5 and 3x 4 is 6x2 – – – + ANSWER The correct answer is B.

  8. Guided Practice 1. Use a vertical method to find the product of 3x1and 9x3. + + 27x2 18x 3 ANSWER + + for Example 1

  9. Example 2 r2 1 ( ) + SOLUTION To expand the expression, multiply two binomials. ( )2 ( ) ( ) means 1 r 1 r 1 r + = + + ( )2 ( ) ( ). 1 r 1 r 1 r + + + ( ) ( ) 1 1 r r 1 r Distributive property = + + + 1 r r r2 Distributive property = + + + Multiplying Binomials Horizontally BANKING You deposit $1 into a savings account with interest compounded annually. The balance of the account after two years can be found using the expression where r represents the annual interest rate. Expand this expression and simplify.

  10. Example 2 r2 2r 1 = + + Write in standard form. 1 2r r2 = + + Combine like terms. Multiplying Binomials Horizontally

  11. Example 3 and simplify. 3 3x 1 Find the product 2x ( ) ( – ) + F O I L First Outer Inner Last + + + ( ) ( ) – – Use FOIL. 2x 3x + + 3 3x + 2x 1 3 1 • • • • ( ) ( ) – – Multiply. + 2x 9x 3 6x2 + + Combine like terms. – 6x2 7x 3 + Multiplying with the FOIL Method

  12. Guided Practice for Examples 2 and 3 ( ( ) ) 2. ANSWER ( ) x2 10x 21 + + x 3 + x d 7 6 + + 3. ANSWER ( ) ( ) – – – b2 7b 12 + b 4 b 3 4. ANSWER ( ) ( ) – – 3t2 2t 8 + + 3t 4 t 2 5. ANSWER ( ) d2 11d 30 + + d 5 + 6. ANSWER ( ) ( ) – – – x2 4x 3 + x 3 x 1 Find the product and simplify.

  13. Guided Practice for Examples 2 and 3 7. ANSWER ( ) ( ) – – – 10s2 14s 12 + 5s 3 2s 4 Find the product and simplify.

  14. How do you use Area Models and the FOIL method to multiply binomials? Essential Question:

  15. Independent Practice Textbook p. 707-709

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