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
write two terms which are like
(i) 7xy (ii) 4mn2 (iii) 21.
(i) Two terms like 7xy are: –3xy and 8xy.
(ii) Two terms like 4mn2 are: 6mn2 and –2n2m.
(iii) Two terms like 21 are: 51 and -7b.
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
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 |