Unit 5 - Polynomials Flashcards
(Rules for Adding, Subtracting, Multiplying and Dividing)
When adding, are different exponents like terms?
NO!!
Only the coefficients may differ for terms to be categorized as like terms.
What is the degree of the polynomial?
The degree of the polynomial is the largest exponent in ONE term.
Ex: 5x^2+5xy^6
Deg: 7
What is the leading coefficient?
When the polynomial is written in standard form, the coefficient of the first term is called the leading coefficient.
What do you do with the exponents when multiplying.
To multiply powers of like bases, add the exponents.
What do you raise a power to a power (when there is only one term in the parantheses)
To raise a term with an exponent to some power, multiply exponents.
What do you do when a fraction is raised to a power?
To raise a fraction to a power, raise the numerator and the denominator to that power.
Ex: (3/5)^2 = 3^2/5^2
What do you do when raising a product to a power?
To raise a product to a power raise each factor to that power.
Ex: (5x2)^3 = 5^3x2^3 = 1000
WHEN YOU MULTIPLY BASES, IF ALL BASES ARE THE SAME KEEP IT
8 to the third x 8 to the second x 8
8 to the sixth
Long - Hao said that for all x^-2, it is a positive number below 1. True or False?
False, because if x equals to a fraction, it will be greater than zero. For example,
(1/2)^-2 = (2/1)^2
4>1
