[CLASS 9] Mathematics MCQs on Polynomials in One Variable and Answers

Mathematics Multiple Choice Questions on “Polynomials in One Variable”.

1. (x-y)² = __________
a) x² + 2xy+y²
b) x² – 2xy+y²
c) x² – y²
d) x² + y²

Answer: b
Clarification: We can write (x-y)² as (x-y) * (x-y) = x²-xy-yx + y²
= x²-2xy + y².

2. How many terms are there in a polynomial 5x²+2x-2?
a) 1
b) 2
c) 3
d) 4

Answer: c
Clarification: We can get number of terms by separating them by “+” or “–” sign.
In the given polynomial 5x²+2x-2, if we separate expressions by “+” or “–” sign, we get three separate terms as 5x², 2x and 2.
Hence we can say that there are three terms in the polynomial 5x²+2x-2.

3. Which of the following is the example of Trinomial?
a) 9x³+ 5x²+7x+2
b) 9
c) 7x-2
d) 5x²+2x-2

Answer: d
Clarification: Polynomials only having three terms are called Trinomials.
Hence to find trinomial polynomial, we have to find polynomial which has three terms. We can see that 5x²+2x-2 has three terms namely 5x², 2x and 2. Hence it is trinomial.
Similarly, polynomials only having one term are called Monomials and polynomials only having two terms are called Binomials.