Question 1

Which of the following expressions is a polynomial?

Accepted Answer

$$6x^3$$ + $$3x^2 + 5x$

Question 2

What is the degree of the polynomial $$3x^2 + 5x + 4$?

Accepted Answer

$$2$$

Question 3

Which term is the leading term in the polynomial $$7x^4$$ - $$2x^3 + 5x - 8$ when written in standard form?

Accepted Answer

$$7x^4$$

Question 4

What is the leading coefficient of the polynomial $$-4x^5$$ + $$2x^3 - x + 7$?

Accepted Answer

$$-4$$

Question 5

Which of the following is NOT a polynomial?

Accepted Answer

$$2x^{-1} + 5$

Question 6

Write $$5x^2$$ + $$2x^3 + 7$ in standard form.

Accepted Answer

$$2x^3$$ + $$5x^2 + 7$

Question 7

What is the sum of $$(3x^2 + 2x + 1$$)$$ and (5x^2$ + 4x + 7)$$?

Accepted Answer

$$8x^2 + 6x + 8$

Question 8

Subtract $$(2x^2 + 4x + 1$$)$$ from (5x^2$ + 3x + 8).$$

Accepted Answer

$$3x^2 - x + 7$

Question 9

Which of the following best describes the expression $$x^2$$ + \dfrac{1}{x}$$?

Accepted Answer

It is not a polynomial because it contains a negative exponent.

Question 10

Combine like terms: $$4x^2 + 3x$$ - $$2x^2 + 5x$.

Accepted Answer

Question 11

A chemist is modeling the rate of a reaction with the polynomial $$r(t) = 2t^3$ - 5t^2$ + 4t. $$What is the rate at $$t = 2$$ seconds?

Accepted Answer

Question 12

Which of the following is the correct standard form for the polynomial $$x + 4x^3$ - 2x^2$ + 7$$?

Accepted Answer

$$4x^3$$ - $$2x^2 + x + 7$

Question 13

If $$f(x) = 3x^2$ - 2x + 5$$ and $$g(x) = x^2$ + 4x - 1$$, what is $$f(x) + g(x)$$?

Accepted Answer

$$4x^2 + 2x + 4$

Question 14

Which of the following is a binomial?

Accepted Answer

$$x^2 + 3$

Question 15

A polynomial is written as $$ax^3$$ + $$bx^2 + cx + d$. If a = 0$, what is the degree of the polynomial (assuming b$$ 
eq 0$$)?

Accepted Answer

$$2$$

Question 16

Which of the following is the sum of $$(2x^2 + 3x + 4$$)$$ and (-x^2$ + 5x - 2)$$?

Accepted Answer

$$x^2 + 8x + 2$

Question 17

Which of the following is a monomial?

Accepted Answer

$$7x^3$$

Question 18

If you subtract $$(x^2 - 2x + 3$$)$$ from (2x^2$ + x - 4)$$, what is the result?

Accepted Answer

$$x^2 + 3x - 7$

Question 19

Which of the following is the correct classification for $$4x^3$$ - $$2x^2 + x - 5$?

Accepted Answer

Cubic polynomial

Question 20

A polynomial $$p(x)$$ has a leading coefficient of $$-3$$ and degree $$4. $$Which of the following could be $$p(x)$$?

Accepted Answer

$$-3x^4$$ + $$2x^2 - x + 7$

Introduction to Polynomials: Structure, Classification, and Operations

Study Guide - Practice Questions