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Adding Polynomials_1.pptx
- 4. Example 1: Adding monomials. Find the sum: Add the numerical coefficients and copy the common variables. 3a + 5a = (3 + 5) a = 8a 10ab + (-4ab) + 5ab = (10 – 4 + 5)ab = 11ab 21m2 n + (−8m2 n ) = (21 − 8)m2 n = 13m2 n
- 5. ADDING POLYNOMIALS WITH MORE THAN ONE TERM
- 6. Example 1: What is the sum of (6x2 + 2x − 7) and (−3x2 −8x + 1 ) ? Method 1: Add vertically Line up similar terms, then add the numerical coefficients.
- 7. Example 1: What is the sum of (6x2 + 2x − 7) and (−3x2 −8x + 1 ) ? Method 2: Add horizontally Group like terms and add the numerical coefficients e up similar terms, then add the numerical coefficients.
- 8. Example 2: What is the sum of (2b + 5c) and (4b + 8c) ? Method 1: Add vertically Line up similar terms, then add the numerical coefficients.
- 9. Example 2: What is the sum of (2b + 5c) and (4b + 8c) ? Method 2: Add horizontally Group like terms and add the numerical coefficients e up similar terms, then add the numerical coefficients.
- 10. Perform the indicated operation. a. 4x + 5x = ______ b. -4x + 5x = ______ c. (4x + 5x) + (4y – (–5y)) = ____ + 9y d. (6n2 + 4n – 2) + (–3n + 8) = ______
- 11. Directions: Translate each illustration into algebraic expression and write the sum on the third column.
- 12. Rules for Adding Polynomials • To add polynomials, simply combine similar terms. • To combine similar terms, get the sum of the numerical coefficients and annex the same literal coefficients. • If there is more than one term, for convenience, write similar terms in the same column. REMEMBER!
- 13. Find the sum of the following 1. 3a + 8b + 9a + b 2. 2x2 + 4 + x2 – x 3. x2 + x – 2 + 5x2 + x + 8 4. 7mn + 8ab + (-12mn – 5ab) 5. 3x2 + 2x + 1 x2 + x + 7 + (-2x2 + 3x + 4)
- 14. ASSIGNMENT STUDY A. HOW DO YOU SUBTRACT POLYNOMIALS?
Editor's Notes
- From the given examples, a. Which are like terms? Unlike terms? b. How are polynomials with like terms added? Subtracted? c. How are polynomials with unlike terms added? Subtracted? d. Are there similarities between addition and subtraction of integers and addition and subtraction of polynomials?
- Rules for Adding Polynomials To add polynomials, simply combine similar terms. To combine similar terms, get the sum of the numerical coefficients and annex the same literal coefficients. If there is more than one term, for convenience, write similar terms in the same column.
- Rules for Adding Polynomials To add polynomials, simply combine similar terms. To combine similar terms, get the sum of the numerical coefficients and annex the same literal coefficients. If there is more than one term, for convenience, write similar terms in the same column.