WORKSHEET ON ADDING AND SUBTRACTING POLYNOMIALS

Simplify the following.

Problem 1 :

(5x² – 2x + 7) + (x³ – 5x² – x + 3)

Solution

Problem 2 :

(x³ – x² + x + 1) + (x³ + x² - x - 1)

Solution

Problem 3 :

(2x⁴ + x² - 1) + (x⁴ – x³ + x + 1)

Solution

Problem 4 :

(x⁴ - 2x³ + 3x² – 4x + 5) + (5x³ – x² + 7x - 3)

Solution

Problem 5 :

(2x³ + 3x² – 5x + 1) + (6 – 2x + 3x² – x³)

Solution

Problem 6 :

(4x² – x + 3) – (3x² + x + 1)

Solution

Problem 7 :

(2x³ + x² + 5x - 7) – (x³ – 2x² + 5x + 4)

Solution

Problem 8 :

(9x⁴ + x³ + 2x - 3) – (5x⁴ + 7x² – 2x + 3)

Solution

Problem 9 :

(5x² + 7x + 1) + (2x² + x - 3) + (x² – 10x + 7)

Solution

Problem 10 :

(x³ – x + 3) + (x² – 3x + 4) + (2x³ – x² + 5)

Solution

Express the area of the figure as a polynomial in descending powers of the variable x.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

The area of a rectangle is 20m² – 13m – 15. Find the length if the width is 4m – 5.

Solution

Problem 4 :

A rectangular patio has an area of 2m³ + 12m² + 6m – 40. Find the length if the width is 2m + 8.

Solution

Find simplified expressions for the perimeter and area of the given figure.

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

The area of a rectangular window is (2x² – 7x – 15). Both the length and the width are polynomials with integer coefficients. Which of the following could represent the length of the window?

 Solution

Problem 8 :

A triangle is inscribed in a square, as shown. Write and simplify a function r in terms of x that represents the area of the shaded region.

Solution

More Practice Questions

For more problems and solutions