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

Answer: b

Explanation: We can write (x-y)

= x

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

Answer: c

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

In the given polynomial 5x

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

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

Answer: d

Explanation: Polynomials only having three terms are called

Hence to find trinomial polynomial, we have to find polynomial which has three terms. We can see that 5x

Similarly, polynomials only having one term are called

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**.advertisement

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