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Class 10 Class 12
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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

1166 Views

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.

730 Views

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

764 Views

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.

655 Views

Give five examples of expressions containing one variable and five examples of expressions containing two variables.


(a) Five examples containing one variable are:

(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

1712 Views