In Problems 27–46, find the greatest common factor, GCF, of each group of expressions. See Objective 1.
45.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Elementary & Intermediate Algebra
Additional Math Textbook Solutions
Intermediate Algebra
Graphical Approach To College Algebra
Intermediate Algebra (8th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Linear Algebra and Its Applications (5th Edition)
- In Problems 5–12, tell whether the given rational expression is proper or improper. If improper, rewrite it as the sum of a polynomialand a proper rational expression.arrow_forward1.2. Factorise the following completely: 5x(p – q) + 8y(q – p) – 3y(p – q) a. b. 5x2 - 12x + 4 C. a² + a(4 + b) + 4b d. x* - 81 e. 6x²y-10xy + 15x - 25 Question 2 olify thearrow_forward1. Show that x + 4 is a factor of x4 – x3 + 3x2 – 3x + 356.arrow_forward
- If (x + 3) is a factor of x3 – 13x – 12, what are the other factors. - -arrow_forwardIf (x + 3) is a factor of x - 13x – 12, what are the other factors. A. (x – 6) and (x+2) B. (x – 2) and (x + 6) C. (x- 1) and (x+ 4) D. (x– 4) and (x + 1)arrow_forwardIn chapter 4 we will need to factor the results from using product rule. Suppose the following result comes from the application of the product rule to a particular function. -(x+1)4.7(2-x)6+ (2-x)7.4(x+1)³ Which of the following is the correct factorization? O (x+1)³(2-x)6(1 - 11x) O (x+1)³(2-x)6(1 + 11x) O (x+1)³(2-x)6(15 – 11x)arrow_forward
- 6. Factor fully x³ - 1arrow_forwardCompare and contrast the following polynomials: 22 – 16 24 – 16 Factor 2 – 16- Make a conjecture about how you could apply the method you used to factor 2 – 16 to factor 4 – 16-arrow_forward2. Factor P(x) =x+xx+ A x( x+ 1x + 1) B. x(1)(x + 1) C. x( x - 1x + 1) D. x(-1)(x + 1) 3. Which of the following is the factored formed of x+3x - 10x-24? A. (x+ 4x-3)(x+ 2) B. (x-4)(x-3)(x- 2) C. (x-4)(x-3)(x + 2) D. (x+ 4)(x +3)(x-2) 4. Which of the following is a factor of 2x - 5x+3? A. x-3 B. 2x+3 C.x-1 D. 3x + 2 5. What are the factors of x - 2x- 24? A. (x+ 4)(x-6) B. (x-12{x+ 1) C. (x-8{x +3) D. (x+ 12 x- 12)arrow_forward
- For Exercises 8–10, a. Simplify the expression. Do not rationalize the denominator. b. Find the values of x for which the expression equals zero. c. Find the values of x for which the denominator is zero. 4x(4x – 5) – 2x² (4) 8. -6x(6x + 1) – (–3x²)(6) (6x + 1)2 9. (4x – 5)? - 10. V4 – x² - -() 2)arrow_forwardIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 133. y + x + x + y 134. 36x2" – y2n 135. x* 3n 12n 136. 4x2" + 20x"y" + 25y2marrow_forwardIII. Factor the following (x² + 5x + 6) 2. x2 -9 1.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell