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.
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)Â 3 binomials with only x as a variable;
(b)Â 3 binomials with x and y as variables;
(c)Â 3 monomials with x and y as variables;
(d)Â 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 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 |
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