Classifying Polynomials Worksheet
A Grade 11 math worksheet focused on classifying polynomials by degree and number of terms, including identification of leading coefficients and standard form.
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Classifying Polynomials
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Read each question carefully and provide the best answer. Remember to write polynomials in standard form before classifying them.
1. Which of the following is a binomial of degree 3?
$$4x^3$$
$$2x^3 - 5$$
$$x^2 + 3x - 1$$
$$7x^4 + 2x^3$$
2. What is the leading coefficient of the polynomial $$5x - 2x^4 + 3x^2 - 7$$?
$$5$$
$$-2$$
$$3$$
$$-7$$
3. A polynomial with exactly one term is called a .
4. The degree of the polynomial $$5x^2y^3 - 2xy^4 + 7$$ is .
5. Write the polynomial $$3x^2 - 7 + 2x^3 - 5x$$ in standard form and classify it by degree and number of terms.
6. The polynomial $$6x^5 - 4x^2 + 1$$ is a trinomial of degree 5.
True
False
Match each polynomial with its correct classification.
7. $$4x^2 - 9$$
a. Monomial, Degree 0
8. $$12$$
b. Binomial, Degree 2
9. $$x^3 + 2x - 5$$
c. Trinomial, Degree 3