Math Midterm (2022-2023)

Add and subtract polynomials

Algebra

A branch of mathematics that uses symbols to represent unknowns

Term

an expression formed from the product of numbers and/or variables

examples of a term

4x², 7x³y⁴, 2, -3ab

polynomials

an algebraic expression made up of terms connected by the operations on addition and subtraction

degree of a polynomial

the degree of the highest-degree term in a polynomial

what is the degree of this term- 2x⁵y⁰

degree of 5

degree

the sum of the exponents on a single term

what is the degree of this polynomial- 4x⁷y³ + 3x²y⁷

degree of 10

what are the names of the 1 term polynomial, 2 term polynomial, and 3 term polynomial

monomial, binomial, trinomial

what is a like term

multiple terms with the same variables and exponents

like term example

2x² , 5x²

how do you simplify a polynomial

collect like terms (add the like terms together)

what is the exponent law for multiplying

add the exponents

exponent law for division

subtract the exponents

how do you cancel out a negative exponent

place the term into the denominator position