Question 1

Which of the following best defines a polynomial?

Accepted Answer

A single term or the sum of two or more terms containing variables with whole-number exponents.

Question 2

What is the degree of the polynomial $7x^2 - 9x^3 + 12x - 6$?

Accepted Answer

$3$

Question 3

If $a 
eq 0$ and $n$ is a whole number, what is the degree of $ax^n$?

Accepted Answer

$n$

Question 4

Which of the following is a binomial?

Accepted Answer

$2x^2 + \sqrt{2}$

Question 5

What is the result when you add $(-9x^2 + 7x^2 - 5x + 3)$ and $(13x^2 + 2x^2 - 8x - 6)$?

Accepted Answer

$13x^2 + 2x^2 - 8x - 6 + (-9x^2 + 7x^2 - 5x + 3) = 6x^2 - 13x - 3$

Question 6

What is the degree of the polynomial $6y^4 + y^3 + x + 3$?

Accepted Answer

$4$

Question 7

Which of the following statements about the degree of a nonzero constant is true?

Accepted Answer

The degree of a nonzero constant is $0$.

Question 8

What is the result of subtracting $(2x^2 - 4x - 6)$ from $(9x^2 + 7x - 2)$?

Accepted Answer

$7x^2 + 11x + 4$

Question 9

A simplified polynomial with exactly three terms is called a:

Accepted Answer

Trinomial

Question 10

Which of the following is the correct way to subtract $(4y^2 - 5y + 8)$ from $(12y^2 - 9y - 11y - 3)$ using the vertical method?

Accepted Answer

$[12y^2 - 9y - 11y - 3] - [4y^2 - 5y + 8]$

Question 11

If two polynomials add up to zero, what is the relationship between them?

Accepted Answer

They are opposites of each other.

Question 12

What is the result of subtracting $(4x^2 - 6x - 7)$ from $(7x^2 + 3x - 9)$?

Accepted Answer

$3x^2 + 9x - 2$

Question 13

Which of the following is NOT a polynomial?

Accepted Answer

$x^{-2} + 3$

Question 14

What is the sum of $3x^2 - 8x^2 - 5x + 6$ and $10x^2 - 5x^2 + 7x - 2$?

Question 15

Which of the following best describes 'like terms' in polynomials?

Accepted Answer

Terms containing exactly the same variables to the same powers.

Question 16

A chemist is mixing two solutions represented by the polynomials $2x^2 + 3x + 5$ and $x^2 - 2x + 4$. What is the resulting polynomial after mixing?

Accepted Answer

$3x^2 + x + 9$

Question 17

If a polynomial is written in standard form, how are the terms arranged?

Accepted Answer

In descending order of the exponents of the variables.

Question 18

A medical researcher models the growth of bacteria with the polynomial $4t^3 + 2t^2 - t + 6$. What is the degree of this polynomial, and what does it represent in this context?

Accepted Answer

Degree $3$, representing the highest rate of growth change.

Question 19

Which of the following is the correct result of subtracting $2x^2 - 6x^2 + 3x + 9$ from $7x^2 - 5x^2 + 9x - 8$?

Accepted Answer

$11x^2 + 6x + 1$

Polynomials: Vocabulary, Addition, and Subtraction

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