Polynomials

1. Simplify : −5x – 2y + x – 10y

2. Simplify : -3(x – 6)

3. Simplify : (2x²− 4x + 3) − (−x³ + 5x – 4)

4. Simplify : 3x – 2[x – 4(3 – x)]

5. What is the sum of the polynomials 4x²y – 6xy² and −2xy² + x²y?

6. Simplify : (3x + 1)(x – 8)

7. Simplify : 3a(a + 2b – 5)

8. Simplify : (2x + y)²

9. Simplify :
10. Simplify :

11. Divide : (x³ + 2x + 3) ÷ (x – 2)

12. The height of a rectangle is 5 cm less than twice the width, w. Write
an expression that represents

a. the perimeter of the rectangle in cm
b. the area of the rectangle in cm²

13. The radius of a circle can be represented by the expression a + 5.
Which expression represents the area of the circle?

a. π(a² + 5)
b. π(2a + 10)
c. π(a² + 25)
d. π(a² + 10a + 25)

Answers: