Polynomials & Exponential Function Review

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the product of (5n-8)(5n+8)?

Back

25n^2 - 64

Front

Define exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the growth factor if the growth rate is 80%?

Back

1.8

Front

What characterizes exponential decay?

Back

Exponential decay is characterized by a smooth curve that decreases over time.

Front

How do you simplify 12xy^4 * x^5y^2?

Back

12x^{6}y^{6}.

Front

What is the difference between a polynomial and an exponential function?

Back

A polynomial is a sum of terms with non-negative integer exponents, while an exponential function has a variable in the exponent.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.