Polynomials

Problem: 1

Check whether 4x + 1 is a polynomial or not. Write down its degree and coefficient if it is a polynomial and if it is not a polynomial, explain why not.

Problem: 3

Check whether x^–5 + x^–3 + 4 is a polynomial or not. Write down its degree and coefficient, if it is a polynomial and if it is not a polynomial, explain why not.

Problem: 5

Determine the degree, the leading coefficient, and the other coefficients of :

–3x⁴ + 2x² + 1

Problem: 7

Find the degree of each polynomial in one variable. If it is not a polynomial in one variable, explain why.

6p³ + 12p² + 3p – 1

Problem: 9

Find the degree of each polynomial in one variable. If it is not a polynomial in one variable, explain why.

4a³ – 5a⁵ + 5a – 4

Problem: 11

Determine whether the expression is a polynomial:

5x –2x^–3

Problem: 13

Determine whether the expression is a polynomial:

Problem: 15

Determine whether the expression is a polynomial:

Problem: 17

Is the given polynomial is a monomial, binomial, a trinomial or none of these?

Write down the degree of the polynomial.

x⁵ – x

Problem: 19

Is the given polynomial is a monomial, binomial, a trinomial or none of these?

Write down the degree of the polynomial.

9x⁵ + 2xy – 8

Problem: 21

Is the given polynomial is a monomial, binomial, a trinomial or none of these?

Write down the degree of the polynomial.

5x²y² + x³

Problem: 23

Is the expression a polynomial? Explain your reasoning. If it is a polynomial, find its degree.

Problem: 25

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

5 – 3x² + 5x + 4x² – 6x

Problem: 27

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

3x² + 2x –3x² +5x³ – 4x

Problem: 29

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

2x²y² – 2x² +10x²y² + 7xy² – 3x²

Problem: 31

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

8x³y²z²+ 5x²yz³ – 3xyz + 4x²yz³

Problem: 1

Check whether 4x + 1 is a polynomial or not. Write down its degree and coefficient if it is a polynomial and if it is not a polynomial, explain why not.

Problem: 3

Check whether x^–5 + x^–3 + 4 is a polynomial or not. Write down its degree and coefficient, if it is a polynomial and if it is not a polynomial, explain why not.

Problem: 5

Determine the degree, the leading coefficient, and the other coefficients of :

–3x⁴ + 2x² + 1

Problem: 7

Find the degree of each polynomial in one variable. If it is not a polynomial in one variable, explain why.

6p³ + 12p² + 3p – 1

Problem: 9

Find the degree of each polynomial in one variable. If it is not a polynomial in one variable, explain why.

4a³ – 5a⁵ + 5a – 4

Problem: 11

Determine whether the expression is a polynomial:

5x –2x^–3

Problem: 13

Determine whether the expression is a polynomial:

Problem: 15

Determine whether the expression is a polynomial:

Problem: 17

Is the given polynomial is a monomial, binomial, a trinomial or none of these?

Write down the degree of the polynomial.

x⁵ – x

Problem: 19

Is the given polynomial is a monomial, binomial, a trinomial or none of these?

Write down the degree of the polynomial.

9x⁵ + 2xy – 8

Problem: 21

Is the given polynomial is a monomial, binomial, a trinomial or none of these?

Write down the degree of the polynomial.

5x²y² + x³

Problem: 23

Is the expression a polynomial? Explain your reasoning. If it is a polynomial, find its degree.

Problem: 25

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

5 – 3x² + 5x + 4x² – 6x

Problem: 27

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

3x² + 2x –3x² +5x³ – 4x

Problem: 29

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

2x²y² – 2x² +10x²y² + 7xy² – 3x²

Problem: 31

Simplify by arranging terms in decreasing order, and write the degree of polynomial.

8x³y²z²+ 5x²yz³ – 3xyz + 4x²yz³

Hotmath Practice Problems