Question 1

Which of the following expressions is a polynomial in standard form?

Accepted Answer

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

Question 2

What is the degree and leading coefficient of the polynomial $$8x^9$$ - $$3x^5$$ + $$2x^2 - 7$?

Accepted Answer

Degree: 9, Leading Coefficient: 8

Question 3

Evaluate the polynomial function $$f(x) = 2x^3$ - 5x + 1 at$$ $$x = -2.$$

Accepted Answer

$$-19$$

Question 4

Which of the following graphs could NOT represent a polynomial function?

Accepted Answer

A graph with a sharp corner.

Question 5

Given the polynomial $$f(x) = -3x^4$ + 2x^3$ - x + 5$$, use the Leading Coefficient Test to determine the end behavior.

Accepted Answer

Rises to the left, falls to the right

Question 6

Add the polynomials: $$(4x^3$$ - $$2x^2 + x - 5$$) + $$(3x^3$$ + $$x^2 - 4x + 2$$)$$.

Accepted Answer

$$7x^3$$ - $$x^2 - 3x - 3$

Question 7

Subtract the polynomials: $$(5x^2 - 3x + 7$$) - $$(2x^2 + 4x - 1$$)$$.

Accepted Answer

$$3x^2 - 7x + 8$

Question 8

Which of the following is NOT a polynomial?

Accepted Answer

$$x^{-2} + 3x + 1$

Question 9

A company models its profit with the function $$P(x) = -0.5x^2$ + 10x - 20$$, where $$x is $$the number of units sold. According to the Leading Coefficient Test, what happens to profit as $$x$$ increases without bound?

Accepted Answer

Profit decreases without bound.

Question 10

Which of the following best describes the degree of the term $$7x^3y^2$ in the polynomial 4x^5$ + 7x^3$y^2 - 2y$?

Accepted Answer

Degree 5

Question 11

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

Accepted Answer

$$2$$

Question 12

Which of the following is the correct result of adding $$(-2x^2 + 5x - 3$$)$$ and (4x^2$ - 7x + 6)$$?

Accepted Answer

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

Question 13

Which of the following statements about polynomial functions is TRUE?

Accepted Answer

Polynomial functions are always continuous and smooth.

Question 14

Given the polynomial $$h(x) = 6x^5$ - 2x^3$ + x - 8$$, what is the leading term and its coefficient?

Accepted Answer

Leading term: $$6x^5$$, Coefficient: $$6$$

Question 15

Subtract $$(x^3$$ - $$2x^2 + 4x - 5$$)$$ from (2x^3$ + x^2$ - 3x + 7).$$

Accepted Answer

$$x^3$$ + $$3x^2 - 7x + 12$

Polynomials, Polynomial Functions, and Factoring: Study Notes for Intermediate Algebra

Study Guide - Practice Questions

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