Classifying Polynomials
A Grade 12 math worksheet on classifying polynomials by degree and number of terms, including identification of leading coefficients and standard form.
Includes
Standards
Topics
Classifying Polynomials Worksheet
Name:
Date:
Score:
Read each question carefully and provide the best answer. Remember to classify polynomials by their degree and number of terms.
1. Which of the following is a quartic trinomial?
$$4x^3 + 2x^2 - x$$
$$5x^4 - 3x + 7$$
$$2x^4 + 6x^3 - x^2 + 1$$
$$x^5 - 2x^2 + 9$$
2. What is the degree of the polynomial $$7x^2y^3 - 3xy^4 + 5x^5$$?
2
3
4
5
3. A polynomial with exactly two terms is called a .
4. The degree of the polynomial $$12x^3 - 5x^7 + 2x - 9$$ is .
5. When written in standard form, the leading coefficient of $$5 - 2x^2 + 8x^3 - x$$ is .
6. The expression $$ \frac{3}{x} + 2x^2 $$ is a polynomial.
True
False
7. A constant term has a degree of zero.
True
False
8. Write the polynomial $$3x - 7x^4 + 2x^2 - 1$$ in standard form and state its leading coefficient.
9. Classify the polynomial $$9x^5$$ by its degree and number of terms.
Match each polynomial expression with its correct classification.
10. $$2x^3 - 5x + 1$$
a. Linear Monomial
11. $$ -4x $$
b. Quadratic Binomial
12. $$ x^2 + 3 $$
c. Cubic Trinomial