Algebra II: Polynomials and Polynomial Functions flashcards

Question 1

What is a monomial?

Accepted Answer

An algebraic expression made of one term

Question 2

In one variable, what form does a monomial take?

Accepted Answer

a·x^m, with a a constant and m a whole number

Question 3

What is a binomial?

Accepted Answer

A polynomial with exactly two terms

Question 4

What is a trinomial?

Accepted Answer

A polynomial with exactly three terms

Question 5

What is the degree of a term?

Accepted Answer

Add up the exponents of all its variables

Question 6

What is the degree of a polynomial?

Accepted Answer

The highest degree among all of its terms

Question 7

What is a polynomial function?

Accepted Answer

A function whose range values are given by a polynomial

Question 8

Product Property for exponents: a^m · a^n = ?

Accepted Answer

a^(m+n)

Question 9

Power Property for exponents: (a^m)^n = ?

Accepted Answer

a^(m·n)

Question 10

Product to a Power Property: (ab)^m = ?

Accepted Answer

a^m · b^m

Question 11

Quotient Property for exponents: a^m / a^n = ? (a ≠ 0)

Accepted Answer

a^(m−n)

Question 12

Zero Exponent Property: a^0 = ? (a ≠ 0)

Accepted Answer

1

Question 13

Negative exponent: a^(−n) = ? (a ≠ 0)

Accepted Answer

1 / a^n

Question 14

Negative exponent: 1 / a^(−n) = ? (a ≠ 0)

Accepted Answer

a^n

Question 15

Quotient to a Power Property: (a/b)^m = ? (b ≠ 0)

Accepted Answer

a^m / b^m

Question 16

Quotient to a Negative Exponent: (a/b)^(−n) = ? (a ≠ 0, b ≠ 0)

Accepted Answer

(b/a)^n

Question 17

Binomial square: (a + b)^2 = ?

Accepted Answer

a^2 + 2ab + b^2

Question 18

Binomial square: (a − b)^2 = ?

Accepted Answer

a^2 − 2ab + b^2

Question 19

Product of conjugates: (a − b)(a + b) = ?

Accepted Answer

a^2 − b^2

Question 20

What is the product of conjugates a^2 − b^2 called?

Accepted Answer

A difference of squares

Question 21

For functions f and g, (f·g)(x) = ?

Accepted Answer

f(x) · g(x)

Question 22

Remainder Theorem: a polynomial f(x) divided by x − c leaves what remainder?

Accepted Answer

f(c)

Question 23

Factor Theorem: x − c is a factor of polynomial f(x) exactly when what holds?

Accepted Answer

f(c) = 0

Algebra II: Polynomials and Polynomial Functions flashcards

The cards

Where this deck sits in the curriculum

How this deck was checked

Sources

More in this course