1300_F2011_Sec_32-filled

# 1300_F2011_Sec_32-filled - lowest Example 5 Simplify-7 x...

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Math 1300 Section 3.2 1 Operations with Polynomials Addition of Polynomials The sum of two polynomials is found by combining like terms. To add like terms, add the coefficients and do not change the variable and exponents in common. Example 1: Simplify: (2 x 7 + 9 x 3 - 5) + (3 x 3 + 2 x + 14). Example 2: Simplify (2 x 3 - 17 x 2 - 5x) + (3 x 3 - x + 8). Subtraction of Polynomials The difference of two polynomials is found by adding the first polynomial to the negative of the second polynomial. Make sure you subtract each term of the second polynomial. Example 3: Simplify: (9 x 5 + 2 x 3 - 1) - (2 x 3 + 4 x - 4). Example 4: Simplify: (5 x 2 - 7 x + 2) - ( x 2 + 4 x - 3).

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Math 1300 Section 3.2 2 Multiplication of Polynomials Multiplication of polynomials is done by repeated use of the distributed property. Multiplication of binomials (two-termed polynomials) is done using the FOIL method. FOIL is an acronym which stands for “first terms, outside terms, inside terms, last terms.” Always combine like terms and write your answer in descending order, from highest degree the

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Unformatted text preview: lowest. Example 5: Simplify: (-7 x + 2) (4 x - 3). Example 6: Simplify: (9 x 3- 5) (3 x 3 + 2 x ). Example 7: Simplify: (2 x 3 + 9 x 2- 5)(3 x 2 + 2 x + 14). Math 1300 Section 3.2 3 Example 8: Simplify: ( x – 4)(3 x – 2) Example 9: ( x 2 – 5)( x 2 + 7) Example 10: (3 x 2 + 4)(2 x 2 + 1) Example 11: (2 x 5 + x 2 )(5 – 3 x 4 ) Math 1300 Section 3.2 4 Example 12: Simplify each. Write your final answer with the terms in descending order, from highest to lowest degree. A. –5 x 7 – x 4 – 3 x 4 B. –5( x 7 – x 4 ) – 3 x 4 C. –5 x 7 (-x 4 ) – 3 x 4 D. 3 x – 1 – (4 x 2 + 2 x – 6) E. 3 x – 1(4 x 2 + 2 x – 6) F. (3 x – 1)(4 x 2 + 2x – 6) Math 1300 Section 3.2 5 G. (3 x 2 + 2 x – 1) + (2 x 2 – 5 x + 3) H. (3 x 2 + 2 x – 1) – (2 x 2 – 5 x + 3) I. (3 x 2 + 2 x – 1)(2 x 2 – 5 x + 3) J. x 7 – 4 x 4 + 2 x + 6 x 5 –3 x 4 – 5 x K. ( x 7 – 4 x 4 + 2 x ) – (6 x 5 –3 x 4 – 5 x ) Math 1300 Section 3.2 6 L. ( x 7 – 4 x 4 + 2 x )(6 x 5 –3 x 4 – 5 x )...
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1300_F2011_Sec_32-filled - lowest Example 5 Simplify-7 x...

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