PRACTICE IN CLASSFIYING POLYNOMIALS

Based on the table given below answer the following questions

Solution :

By finding degree of the polynomial

Question 1 :

I’m a monomial of degree 4.

Solution :

What is monomial ?

An algebraic term which consists of only one term is known as monomial.

In 10x³y, the degree is 4.

Question 2 :

I am a trinomial of degree 5. My leading coefficient is 2.

Solution :

A polynomial with three terms is trinomial.

Leading coefficients are the numbers written in front of the variable with the largest exponent. 

2x⁴y-4x³+5x

Degree of the term x⁴y is 4+1  ==>  5

Question 3 :

I am a binomial. My leading coefficient is -4.

Solution :

Binomial will consists of 2 terms.

So, the answer is -3x²-4x¹⁰

Question 4 :

My degree is 10.

Solution :

The two polynomials those are having degree 10

-20x¹⁰ and 12x³y⁷-10x²y+xy

The answer is 12x³y⁷-10x²y+xy.

Question 5 :

I am a trinomial. I’m not in standard form.

Solution :

3x²+x⁵-10x

Question 6 :

I am a binomial of degree 3. My leading coefficient is 7.

Solution :

7x²y-4xy

Question 7 :

My leading coefficient is 1.

Solution :

x⁴y³+7x²y²+1

Question 8 :

I’m a monomial. My degree is not 4.

Solution :

We have two monomials -20x¹⁰ and 10x³y.

Degree of the first monomial is 10 and degree of the second monomial is 4.

Since we have to choose monomial which is not having the degree 4, we choose -20x^10.

Question 9 :

I’m in standard form. My leading coefficient is 5.

Solution :

5x³+12xy

Question 10 :

My degree is 6.

Solution :

5xyz + 11x²yz³

Degree of the term 11x²yz³  =  (2+1+3)  ==>  6

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