# WA5_MAT-115-mar18.docx - MAT-115 INTERMEDIATE ALGEBRA...

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MAT-115: INTERMEDIATE ALGEBRA Written Assignment 5 5.1: Add and Subtract Polynomials Determine the degree of the polynomial. 1. 3 x 4 5 x 2 Answer: 4 2. 3 y Answer: 1 3. 5 Answer: 0 4. 5 x 2 y + 2 y Answer: 3 Simplify. 5. 4 x 2 + x 2 + 5 a a = 5x² + 4a 6. 5 ab −(− 2 ab ) = 7ab 7. 10 x 4 y 12 x = -2x – 4y 8. ( 5 w 2 + 11 w + 6 )+( 2 w 2 3 w 5 ) = 7w² +8w + 1 9. ( 5 w 2 + 11 w + 6 )−( 2 w 2 3 w 5 ) = 3w² +14w +11 10. ( a 2 b 2 )+( a 2 3 ab 2 b 2 ) = -3b² - 3ab 11. ( a 2 b 2 )−( a 2 3 ab 2 b 2 ) = b² + 3ab Solve. 12. For the function f ( x )= 2 x 2 2 x + 4 , find: a. f(3) Copyright © 2018 by Thomas Edison State University. All rights reserved.
2 * 3² - 2 * 3 + 4 = 18 – 6 + 4 = 16 b. f(-2) 2 * (-2) ² -2 * (-2) + 4 = 8 + 4 + 4 = 16 c. f(0) 0 – 0 + 4 = 4 13. For the function f ( x )= 20 4 x 2 , find: a. f(3) 20 – 4 * 3² = 20 – 36 = - 16 b. f(-2) 20 – 4 * (-2) ² = 20 – 16 = 4 c. f(0) 20 – 0 = 0 5.2: Properties of Exponents and Scientific Notation Simplify using the properties of exponents. 14. w 2 w 5 w 3 = w¹º 15. y x y 3 = y( +³) ˟ 16. p 12 p 4 = p 17. 3 0 = 1 18. −( 3 ) 0 = -1 Write with positive exponents. 19. w 2 = 1/ w² 20. 10 2 = 1/ 10² = 0. 01 21. ( 2 3 ) 3 = (3/2)³ Copyright © 2018 by Thomas Edison State University. All rights reserved.
22. 3 4 1 = 3/4