Question

UNIT 5
Polynomials and Properties of Exponents
LESSON 6
Polynomials and Properties of Exponents Review

Answer 1

Polynomials are algebraic expressions that involve addition, subtraction, multiplication, and non-negative integer exponents. They can be written in standard form, with the terms ordered by degree from highest to lowest.

The properties of exponents can be used to simplify and manipulate polynomial expressions. These properties include:

1. Product Rule: a^n * a^m = a^(n+m)
2. Quotient Rule: a^n / a^m = a^(n-m)
3. Power Rule: (a^n)^m = a^(n*m)
4. Negative Exponent Rule: a^(-n) = 1/a^n
5. Zero Exponent Rule: a^0 = 1

To simplify polynomial expressions, we can also use the distributive property, combine like terms, and factor out common factors. Factoring can also be used to find the roots or zeros of a polynomial, which are the values of x that make the polynomial equal to zero.

In summary, understanding polynomials and the properties of exponents is important in algebraic problem-solving and manipulation. Practice and mastery of these concepts is key to success in higher-level math courses.