Pre-Algebra: Polynomials flashcards

Question 1

What is a binomial?

Accepted Answer

A polynomial that has exactly two terms.

Question 2

What is a trinomial?

Accepted Answer

A polynomial that has exactly three terms.

Question 3

What is a monomial?

Accepted Answer

A term a·x^m, where a is a constant and m is a whole number.

Question 4

What is a polynomial?

Accepted Answer

A single monomial, or several monomials joined by addition or subtraction.

Question 5

What is the degree of a polynomial?

Accepted Answer

The highest degree among its terms.

Question 6

What is the GCF of a set of expressions?

Accepted Answer

The largest expression that divides into (is a factor of) every one of them.

Question 7

For a ≠ 0 and n a positive integer, what does a^(-n) equal?

Accepted Answer

1/a^n

Question 8

For any nonzero number a, what is a^0?

Accepted Answer

1

Question 9

Product Property of Exponents: a^m · a^n = ?

Accepted Answer

a^(m+n): with like bases, add the exponents.

Question 10

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

Accepted Answer

a^(m·n)

Question 11

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

Accepted Answer

a^m · b^m

Question 12

In the FOIL method for multiplying two binomials, what do the letters F, O, I, L stand for?

Accepted Answer

First, Outer, Inner, Last (the pairs of terms multiplied), then like terms are combined.

Question 13

Quotient Property for Exponents: for a ≠ 0 and m > n, a^m / a^n = ?

Accepted Answer

a^(m−n)

Question 14

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

Accepted Answer

a^m / b^m: raise both numerator and denominator to the power.

Question 15

Equivalent Fractions Property: for b ≠ 0 and c ≠ 0, a/b equals what?

Accepted Answer

(a·c)/(b·c)

Question 16

Converting a number between 0 and 1 to scientific notation, what power of 10 is used?

Accepted Answer

10^(−n), where n is the number of places the decimal point moved.

Question 17

Converting scientific notation to decimal form, which way does the decimal point move when the exponent is positive?

Accepted Answer

To the right, n places.

Question 18

Converting scientific notation to decimal form, which way does the decimal point move when the exponent is negative?

Accepted Answer

To the left, |n| places.

Question 19

State the Distributive Property for real numbers a, b, c.

Accepted Answer

a(b + c) = ab + ac, and also ab + ac = a(b + c).

Question 20

To factor the GCF out of a polynomial, which property is applied in reverse?

Accepted Answer

The Distributive Property.

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