Classify the following polynomials as monomials, binomials, trinomials –z + 5, x + y + z, y + z + 100, ab – ac, 17
Monomials |
Binomials |
Trinomials |
17 |
–z + 5 ab – ac |
x + y + z y + z + 100 |
Give five examples of expressions containing one variable and five examples of expressions containing two variables.
(i) x – 4 (ii) 5 – y (iii) 2x + 5
(iv) 10x + 4 (v) 11 – z
(b) Five examples containing two variables are:
(i) 7x – 2y (ii) 5x + 2y – 10 (iii) 6x + z – 2
(iv) 15y – z (v) 9x – 10z
Construct:
(a) 3 binomials with only x as a variable;
(b) 3 binomials with x and y as variables;
(c) 3 monomials with x and y as variables;
(d) 2 polynomials with 4 or more terms.
(a) 1, 5x - 4 2. 3x + 2 3. 10 + 2x
(b) 1, 2x + 3y 2. 5x - y 3. x - 3y
(c) 1, 2xy 2. xy 3. -7xy
(d) 1. 2x3 -x2 + 6x - 8 2. 10 + 7x - 2x3 + 4x3
Classify the coefficient of each term in the expression
x2y2 – 10x2y + 5xy2 – 20.
Coefficient of x2y2 is 1.
Coefficient of x2y is –10. Coefficient of xy2 is 5.