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# WEEK III & IV LESSON

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### WEEK III & IV LESSON

1. 1. Polynomials I. II. Subtraction Multiplication Prepared By: Milcah Grace
2. 2. Subtraction of Polynomials
3. 3. Rules: To subtract two polynomials, add the opposite of the integers.  To find the opposite of a monomial, change the sign of the numerical coefficient. EXAMPLES:  –7xy 7xy 8x 2 –8x 2 6x 2 – 3x + 2 –6x 2 + 3x – 2
4. 4. Example 1 Subtract (9x 2 + 3x – 2) – (6x 2 + 5x – 8). Solution 1: 
5. 5. Example 2 Subtract (2a – 3b – c) – (5a – 6b – c). Solution 2 
6. 6. Multiplicatio n of Polynomials
7. 7. Rules:  When two variables with the same base are multiplied, the exponents of the variables are added to get the product. x 3 · x 4 = x · x · x · x · x · x · x = x 3+4 = x 7 In general, x m · x n = x m+n
8. 8. Rules: To multiply two monomials, multiply the numerical coefficients (numbers) and add the exponents of the same variables (letters).  Example: Multiply 5x 3 y 2 · 3x 2 y 4  Solution: (ans. 15x5y6) 
9. 9. Example : Multiply - 3m 5 n 4 · 6m 2 n 6 .  Solution :
10. 10. Example: Multiply 5x 2 y(3x + 2y - 6) Solution :