Question 1

Given the polynomial $$P(x) = 4x^2$ - 2$$, what is the leading term, leading coefficient, degree, and constant term?

Accepted Answer

Leading term: $$4x^2$$, Leading coefficient: $$4$$, Degree: $$2$$, Constant term: $$-2$$

Question 2

How many terms are in the polynomial $$18x^{17}$$ - $$100x^8 + 2x + 4x - 199$?

Accepted Answer

5

Question 3

What is the coefficient of the $$x^8$$ term in $$18x^{17}$$ - $$100x^8 + 2x + 4x - 199$?

Accepted Answer

$$-100$$

Question 4

For the polynomial $$-x^5 - 2x - 1$, what is the degree and the leading coefficient?

Accepted Answer

Degree: $$5$$, Leading coefficient: $$-1$$

Question 5

Which of the following is the constant term in the polynomial $$x^2 + 2x - 2$?

Accepted Answer

$$-2$$

Question 6

If $$P(x) = a_nx^n + a$$_{n-1}$$x^{n-1} + ... + a_1x$$ + $$a_0$, which term is the leading term?

Accepted Answer

$$a_nx^n$$

Question 7

What is the degree of the polynomial $$x^{10}$$ - $$x^{11}$$?

Accepted Answer

$$11$$

Question 8

Which of the following expressions has a leading coefficient of $$-1$$?

Accepted Answer

$$-x^7$$

Question 9

In the polynomial $$7 - 2x$$, what are the coefficients of each term?

Accepted Answer

$$7$$ and $$-2$$

Question 10

Which of the following is NOT a term in the polynomial $$19x - 4x + 2x$$?

Accepted Answer

$$x^2$$

Question 11

A chemist models the concentration of a substance over time with $$C(t) = 4t^2$ - 2. $$What is the initial concentration?

Accepted Answer

$$-2$$

Question 12

Which polynomial has a degree of $$1$$?

Accepted Answer

$$7 - 2x$$

Question 13

If a population model is $$P(x) = 4x$$, what is the degree and leading coefficient?

Accepted Answer

Degree: $$1$$, Leading coefficient: $$4$$

Question 14

Which of the following polynomials has a constant term of $$-199$$?

Accepted Answer

$$18x^{17}$$ - $$100x^8 + 2x + 4x - 199$

Question 15

A medical researcher uses $$P(x) = 4x^2$ - 2 to $$model the effect of a drug. What is the coefficient of the $$x^2$$ term?

Accepted Answer

$$4$$

Question 16

Which polynomial has only one term?

Accepted Answer

$$-x^7$$

Question 17

If $$P(x) = x$$^{10}$$ - x$$^{11}$$, what is the leading term?

Accepted Answer

$$-x^{11}$$

Question 18

Which of the following is the correct definition of a coefficient in a polynomial?

Accepted Answer

The value that precedes the variable in each term.

Question 19

A financial analyst models profit with $$P(x) = 7 - 2x. $$What is the profit when $$x = 0$$?

Accepted Answer

$$7$$

Question 20

Which of the following polynomials has a leading coefficient of $$18$$?

Accepted Answer

$$18x^{17}$$ - $$100x^8 + 2x + 4x - 199$

Polynomials: Terms, Coefficients, and Structure

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