1st Unit Test - Alg 2

Front

What is Synthetic Division?

Back

Synthetic Division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It is faster than long division and is used primarily for polynomials.

Front

Perform Synthetic Division: (2x^3 + 5x^2 + 9) ÷ (x + 3)

Back

The result is 2x^2 - x + 3.

Front

What is the inverse of a function?

Back

The inverse of a function f(x) is a function f^-1(x) that reverses the effect of f. If f(a) = b, then f^-1(b) = a.

Front

Find the inverse of f(x) = 1/4x - 7.

Back

f^-1(x) = 4x + 28.

Front

What is the formula for multiplying fractions?

Back

Front

Solve for x: 2x + 3 = 15.

Back

x = 6.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to whole number powers and coefficients, 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 polynomial.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.