Math 3 EOC Review

Front

What is a polynomial?

Back

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

Front

What is a lead coefficient in a polynomial?

Back

The lead coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What are zeros of a polynomial?

Back

Zeros of a polynomial are the values of x that make the polynomial equal to zero.

Front

How do you find a polynomial from its zeros?

Back

To find a polynomial from its zeros, use the factored form: f(x) = a(x - r1)(x - r2)...(x - rn), where r1, r2, ..., rn are the zeros.

Front

What is the relationship between the zeros and the factors of a polynomial?

Back

The zeros of a polynomial correspond to the values of x that make each factor equal to zero.

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

What does it mean for two rational expressions to be equivalent?

Back

Two rational expressions are equivalent if they simplify to the same expression or have the same value for all values in their domain.

Front

How do you determine the remainder of a polynomial when divided by a linear factor?

Back

Use the Remainder Theorem: the remainder of f(x) when divided by (x - c) is f(c).

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.