Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
5-2 Dividing Polynomials Simplify. 4 3 2 –1 22. (z – 3z + 2z – 4z + 4)(z – 1) 27. SOLUTION: 5 3 SOLUTION: 2 23. (x – 4x + 4x ) ÷ (x – 4) SOLUTION: 4 2 25. (g – 3g – 18) ÷ (g – 2) SOLUTION: 28. SOLUTION: 27. SOLUTION: 3 2 29. (2b – 6b + 8b) ÷ (2b + 2) SOLUTION: Synthetic division: eSolutions Manual - Powered by Cognero Page 1 5-2 Dividing Polynomials 3 2 6 29. (2b – 6b + 8b) ÷ (2b + 2) 5 3 31. (10y + 5y + 10y – 20y – 15)(5y + 5) SOLUTION: −1 SOLUTION: Synthetic division: 6 4 32. CCSS REASONING A rectangular box for a new product is designed in such a way that the three dimensions always have a particular relationship defined by the variable x. The volume of the box can –1 2 30. (6z + 3z – 9z )(3z – 6) SOLUTION: 3 2 be written as 6x + 31x + 53x + 30, and the height is always x + 2. What are the width and length of the box? Synthetic division: SOLUTION: Divide the function by the height (x + 2) to find the length and width. Use synthetic division. 6 5 3 31. (10y + 5y + 10y – 20y – 15)(5y + 5) −1 SOLUTION: The depressed polynomial is . Since the volume of the box is the product of length, width and height, the width and length of box are (2x + 3)(3x + 5). 33. PHYSICS The voltage V is related to current I and power P by the equation eSolutions Manual - Powered by Cognero 32. CCSS REASONING A rectangular box for a new . The power of a 3 2 generator is modeled by P(t) = t + 9t + 26t + 24. If the current of the generator is I = t + 4, write anPage 2 expression that represents the voltage. SOLUTION: Since the volume of the box is the product of length, width and height, the width and length of box are (2x + 3)(3x +Polynomials 5). 5-2 Dividing 33. PHYSICS The voltage V is related to current I and power P by the equation 35. BUSINESS The number of magazine subscriptions . The power of a sold can be estimated by generator is modeled by P(t) = t + 9t + 26t + 24. If the current of the generator is I = t + 4, write an expression that represents the voltage. 3 the amount of money the company spent on advertising in hundreds of dollars and n is the number of subscriptions sold. SOLUTION: a. Perform the division indicated by 2 ,where a is . b. About how many subscriptions will be sold if $1500 is spent on advertising? SOLUTION: Synthetic division: a. 35. BUSINESS The number of magazine subscriptions sold can be estimated by ,where a is b. There are 15 hundreds in 1500. Substitute a = 15. the amount of money the company spent on advertising in hundreds of dollars and n is the number of subscriptions sold. a. Perform the division indicated by . b. About how many subscriptions will be sold if $1500 is spent on advertising? SOLUTION: a. Therefore, about 2423 subscriptions will be sold. Simplify. 4 4 36. (x – y ) ÷ (x – y) SOLUTION: b. There are 15 hundreds in 1500. Substitute a = 15. 3 2 2 37. (28c d – 21cd ) ÷ (14cd) SOLUTION: eSolutions Manual - Powered by Cognero Page 3 3 2 2 –1 5-2 Dividing Polynomials 3 2 2 37. (28c d – 21cd ) ÷ (14cd) SOLUTION: 3 2 2 38. (a b – a b + 2b)(–ab) –1 SOLUTION: 41. SOLUTION: 44. CHALLENGE If a polynomial is divided by a binomial and the remainder is 0, what does this tell you about the relationship between the binomial and the polynomial? SOLUTION: If a polynomial divided by a binomial has no remainder, then the polynomial has two factors: the binomial and the quotient. eSolutions Manual - Powered by Cognero Page 4