Question 1

Which of the following is a trinomial?

Accepted Answer

$$3y^3 + 4t + 7$

Question 2

What is the degree of the polynomial $$7x^2 - 8 + x$$ - $$x^4$$ when written in descending order?

Accepted Answer

$$4$$

Question 3

Identify the leading coefficient of the polynomial $$12 + 2x^3$ - 7x + x^2$ when written in descending order.

Accepted Answer

$$2$$

Question 4

Evaluate $$f(-1)$$ for $$f(x) = x^2$ - x.$$

Accepted Answer

$$2$$

Question 5

Which of the following is a cubic function?

Accepted Answer

$$p(x) = 5x^3$ - \frac{1}{3}x + 2$$

Question 6

Add the polynomials: $$(3x^3$$ - $$5x^2 + 8x$$) + $$(2x^3 - 3x - 10$$)$$.

Accepted Answer

$$5x^3$$ - $$5x^2 + 5x - 10$

Question 7

Subtract the polynomials: $$(x^2 - 2x - 6$$) - $$(5x^2 - 2x - 9$$)$$.

Accepted Answer

$$-4x^2 + 0x + 3$

Question 8

Which of the following is the leading term of $$5a^4b$$ + $$11a^2b^4$ - 2b^3$ + ab$?

Accepted Answer

$$11a^2b^4$

Question 9

Classify the polynomial $$-7a^4b^5$.

Accepted Answer

Monomial

Question 10

What is the value of $$P(-1)$$ for $$P(x) = 2x^3$ - x^2$ + x$$?

Accepted Answer

$$-2$$

Question 11

Which of the following is NOT a property of polynomials?

Accepted Answer

The coefficient is always a positive integer.

Question 12

Arrange $$7x^2 - 8 + x$$ - $$x^4 in $$descending order and identify the leading term.

Accepted Answer

$$-x^4$$

Question 13

Which of the following is a binomial?

Accepted Answer

$$2x + 4$$

Question 14

What is the degree of the polynomial $$4x^3$$ - $$5x^2 + xy - 8$?

Accepted Answer

$$3$$

Question 15

Evaluate $$f(2)$$ for $$f(x) = x^3$ - 8x^2$ + x - 2.$$

Accepted Answer

$$-18$$

Question 16

Which of the following is the correct sum: $$(5t^4$$ - $$2t^3 + t$$) + $$(-t^4$$ - $$t^2 + t$$)$$?

Accepted Answer

$$4t^4$$ - $$2t^3$$ - $$t^2 + 2t$

Question 17

Which of the following best describes the polynomial $$4x^3$$ - $$5x^2 + xy - 8$?

Accepted Answer

No special name

Question 18

What is the degree of the term $$11a^2b^4$?

Accepted Answer

$$6$$

Question 19

Subtract: $$(-3x^2 + 4xy$$) - $$(2x^2 - 5xy$$ + $$7y^2$$)$$.

Accepted Answer

$$-5x^2 + 9xy$$ - $$7y^2$$

Section 5.1: Properties of Exponents and Introduction to Polynomials

Study Guide - Practice Questions