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Q1. Define monomial, binomial and trinomial and give two examples of each.

Solution

Monomial: An algebraic expression consisting only one term is called a monomial. Examples: x²y, -5xy² Binomial: An algebraic expression consisting two terms is called a binomial. Examples: y - 7x², -6 + x² Trinomial: An algebraic expression consisting three terms is called a trinomial. Examples: 1 + x + x², -1 + z² - z²x², 3x + 2y - z

Q2. Classify the following as monomial, binomial or trinomial: (i) 2x + 3y (ii) 2x³ + 3y² - 1 (iii) 2xy + 10 (iv) -9x⁴yz

Solution

(i) 2x + 3y : Binomial (ii) 2x³ + 3y² - 1 : Trinomial (iii) 2xy + 10 : Binomial (iv) -9x⁴yz : Monomial

Q3. Write down the terms in the following expression: (i) -2x²y + 5xy + y³ - 7 (ii) -9xy + 5x²y - 3

Solution

(i) Terms in the expression -2x²y + 5xy + y³ - 7 are: -2x²y, 5xy, y³, - 7 (ii) Terms in the expression -9xy + 5x²y - 3 are: -9xy, 5x²y, -3

Q4. Write the numerical coefficient of each of the following: (i) -6x²z (ii) 8z²x² (iii) -xy (iv) 2xy²

Solution

Numerical coefficients are: (i) -6 (ii) 8 (iii) -1 (iv) 2

Q5. Find the coefficient of x in each of the following: (i) (2 - z)x (ii) z³x + 2y (iii) z³y + 2x (iv) x³y + 2xy + 1

Solution

Coefficient of x is: (i) 2 - z (ii) z³ (iii) 2 (iv) 2y

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