Question 1

Which of the following expressions is a trinomial?

Accepted Answer

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

Question 2

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

Accepted Answer

$$2$$

Question 3

Write $$5x^2$$ - $$3x^4 + 2x - 7$$ + $$x^2 in $$standard form and identify the leading coefficient.

Accepted Answer

Standard form: $$-3x^4$$ + $$6x^2 + 2x - 7$, Leading coefficient: -3$

Question 4

Which of the following is NOT a polynomial?

Accepted Answer

$$2x^{-1} + 4$

Question 5

If you add $$2x^2 + 3x + 4$ and 5x^2$ - x + 1$$, what is the resulting polynomial?

Accepted Answer

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

Question 6

Subtract $$(-2x^4$$ + $$10x^2 + 6x - 3$$)$$ from (x^4$ - 7x^2$ + 8x + 5). $$What is the result?

Accepted Answer

Question 7

Which of the following best describes the expression $$6x^3$$ + $$3x^2 + 5x$?

Accepted Answer

Trinomial

Question 8

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

Accepted Answer

$$-7$$

Question 9

A chemist is mixing two solutions. The concentration of the first is modeled by $$2x^2 + 3x$, and the second by x^2$ - 2x + 4. $$What is the combined concentration polynomial?

Accepted Answer

$$3x^2 + x + 4$

Question 10

Which of the following is the correct standard form of $$2x + 5x^3$ - 4x^2$ + 7$$?

Accepted Answer

$$5x^3$$ - $$4x^2 + 2x + 7$

Question 11

A medical researcher models the growth of bacteria with $$x^2 + 2x + 1$. If the bacteria population doubles, what is the new polynomial expression?

Accepted Answer

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

Question 12

Which of the following is a binomial?

Accepted Answer

$$2x^2 + 4$

Question 13

If you subtract $$3x^2 - 2x + 4$ from 5x^2$ + x - 7$$, what is the result?

Accepted Answer

$$2x^2 + 3x - 11$

Question 14

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

Accepted Answer

$$-4$$

Question 15

A company models its profit with $$P(x) = 3x^2$ + 2x - 5. If $$expenses are $$E(x) = x^2$ - 4x + 2$$, what is the net profit polynomial $$N(x) = P(x) - E(x)$$?

Accepted Answer

$$2x^2 + 6x - 7$

Question 16

Which of the following is a monomial?

Accepted Answer

$$5x$$

Question 17

If you add $$x^3$$ + $$2x^2 - 7x$ and 2x^3$ - 5x^2$ + 9x + 4$$, what is the resulting polynomial?

Accepted Answer

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

Question 18

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

Accepted Answer

An algebraic expression where variables have only whole number exponents and no negative or fractional exponents.

Question 19

A historical population model is given by $$P(x) = 4x^2$ - 3x + 2. If $$the population decreases by $$2x^2 + x - 5$, what is the new population model?

Accepted Answer

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

Question 20

Which of the following is the constant term in the polynomial $$7x^3$$ - $$2x^2 + 5x - 9$?

Accepted Answer

$$-9$$

Polynomials: Classification, Standard Form, and Operations

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