Algebra (LONG DIVISION)

Perform the indicated operation. (6f^2 - 13 - 11f) ÷ (3f - 4)

2f - 1 R -17

Perform the indicated operation. (4g^2 - 9) ÷ (2g - 3)

2g + 3

(2u^2 - 7) ÷ (u + 3)

2u - 6 R 11

Perform the indicated operation. (25m^2 - 20m + 4) ÷ (5m - 2)

5m - 2

A person purchased 5k + 2 items for a total cost of 35k 2 + 29k + 6. Find the average cost per item of this purchase.

7k + 3

Moira buys a new rectangular rug that is 3 inches shorter than her old rectangular rug. The area of the new rug is (x2 + 2x - 15)in2. Describe the width of Moira's new rug in terms of the length of her old rug.

The new rug is 15 inches wider than the old rug.

Review

The process for long division with polynomials is the same as with numbers. To check a division problem, multiply the factors and then add on any remainder.

polynomial

a term or a sum of terms whose variables have whole number exponents.

Perform the indicated operation. (c^2 + 2c - 35) ÷ (c - 5)

c + 7

(n^4 - 2n^3 - 3n^2 + 7n - 2) ÷ (n - 2)

n³ - 3n + 1

Perform the indicated operation. (r^4 - r^2 + 4) ÷ (r^2 - r + 2)

r² + r - 2

Perform the indicated operation. (w^3 + 64) ÷ (4 + w)

w² - 4w + 16

(x^3 + 43 - 49x - 7x^2) ÷ (x^2 - 49)

x - 7 R -300

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Divide the following polynomial and then place the answer in the proper location on the grid. Write your answer in order of descending powers of y. (y^3 - y^2 + y + 3) ÷ (y + 1)

y^2 - 2y + 3