This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Polynomials in One Variable”.

1. (x-y)^{2} = __________

a) x^{2} + 2xy+y^{2}

b) x^{2} – 2xy+y^{2}

c) x^{2} – y^{2}

d) x^{2} + y^{2}

View Answer

Explanation: We can write (x-y)

^{2}as (x-y) * (x-y) = x

^{2}-xy-yx + y

^{2}

= x

^{2}-2xy + y

^{2}.

2. How many terms are there in a polynomial 5x^{2}+2x-2?

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: We can get number of terms by separating them by “

**+**” or “

**–**” sign.

In the given polynomial 5x

^{2}+2x-2, if we separate expressions by “

**+**” or “

**–**” sign, we get three separate terms as 5x

^{2}, 2x and 2.

Hence we can say that there are three terms in the polynomial 5x

^{2}+2x-2.

3. Which of the following is the example of Trinomial?

a) 9x^{3}+ 5x^{2}+7x+2

b) 9

c) 7x-2

d) 5x^{2}+2x-2

View Answer

Explanation: 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 5x

^{2}+2x-2 has three terms namely 5x

^{2}, 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**.

**Sanfoundry Global Education & Learning Series – Mathematics – Class 9**.

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