Page 137 - ICSE Math 6

¾ An algebraic expression having two terms with non-negative powers of literals(s) is known as a
binomial and having three terms with non-negative powers of literals(s) is known as a trinomial.
¾ An algebraic expression whose terms are non-negative powers of literal(s) is called a polynomial.

¾ The degree of a polynomial is the highest power of the literal.

MENTAL MATHS

1. Write True or False.
2
2
(a) In the term 22x y, the numerical factor is x y.
(b) In the term 4a, the numerical factor is 4 and the literal factor is a.
(c) Terms with different literal factors are like terms.
2
2
(d) The terms a b and ab are like terms.
2
3
(e) The algebraic expression 2a + b – a b, is a trinomial.
1
2
(f) The algebraic expression 2x + + 7, is a polynomial in x with degree 2.
x
2. Fill in the blanks.
(a) Since 3 is a constant and x is a variable. So, 3x is a ___________.
(b) Since 11 is a constant and a is a variable. So, 11 – a is ___________.
1
2
5
8
(c) The degree of the polynomial a + a – a is ___________.
7
2
4
2
3
(d) The coefficient of y in the algebraic expression y – 3y + y – 10y is ___________.
7
2
2
(e) The terms p q and q p are ___________ terms.
PRACTICE TIME
1. Separate the constants and literals from the following.
2
2
a b, x y, –7a, 11, − 2 x , 0, − 7
3 9
2. Group the like terms.
2
2
2
2
2
2
(a) 7y, –2x , 7x , –2y (b) ab , a b, 11 ab , 7a b
13
− 3 7 2
(c) 2pq, q, pq, 64p (d) 2y, –3z, y, –4z
5 9 13
3. Classify the following algebraic expressions as monomial, binomial or trinomial.
1
3
2
(a) ab (b) 2xyz (c) –x + 3x + 7 (d) x +
2
(e) p + q + 2 (f) 4x ÷ 7 (g) 2x + 3yz (h) 13 × a × b 2
2
3
5
4. For the algebraic expression y + 3y – 7 y + 11, answer the following.
10
(a) Is this a polynomial in y? If so, write its degree.
(b) Write the terms of the given algebraic expression.

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