Unit 4 Test

Front

What is synthetic division?

Back

A method used to divide a polynomial by a linear binomial of the form (x - c).

Front

In synthetic division, what does the left-hand box represent?

Back

The value of c from the divisor (x - c) used in the division process.

Front

What is the first step in completing the square for the equation a² + 10a + 21 = 0?

Back

Subtract 21 from both sides.

Front

What does the Rational Root Theorem state?

Back

It provides a way to find all possible rational roots of a polynomial equation.

Front

List the possible rational roots for the polynomial 2x³ - 11x² + 12x + 9 = 0.

Back

±1, ±3, ±9, ±1/2, ±3/2, ±9/2.

Front

What is the result of dividing (2x³ + 5x² + 9) by (x + 3)?

Back

2x² - x + 3.

Front

How do you find the zeros (x-intercepts) of a polynomial?

Back

Set the polynomial equal to zero and solve for x.

Front

What are the zeros of the polynomial 2x³ - 11x² + 12x + 9?

Back

x = -4/7, 1.

Front

What is the purpose of completing the square in quadratic equations?

Back

To transform the equation into a perfect square trinomial, making it easier to solve.

Front

What is a polynomial?

Back

An expression consisting of variables raised to non-negative integer powers and coefficients.