Algebraic Expressions

Algebra Worksheet-1

1. Which of the following expressions is a polynomial?

(a)                                (b)

(c) 3x²y –2xy + 5x⁴                      (d)

Algebra Worksheet-2

1. What must be subtracted from x⁴ + 2x² – 3x + 7 go get x³ + x² + x – 1 ?

(a) x⁴ – x³ + x² – 4x + 8             (b) x³ + x² – 4x + 8

(c) x⁴ – x³ + x² + 4x – 8              (d) x⁴ – x³ – x² + 4x – 8

Algebra Worksheet-3

1. (3x – 5y)³ – (5x – 2y)³ + (2x + 3y)³

(a) (3x – 5y) (5x – 2y) (2x + 3y)

(b) 3(3x – 5y) (5x – 2y) (2x + 3y)

(c) (3x – 5y) (2y – 5x) (2x + 3y)

(d) –3(3x – 5y) (5x – 2y) (2x + 3y)

2. If a + b + c = 9 and ab + bc + ca = 26, then the value of a³ + b³ + c³ – 3abc is:

(a) 27                  (b) 29                 (c) 495                (d) 729