Algebra 2 Mid-Cycle 5 Study Guide

Multiply (x + 5) by (x² + 10x + 25).

• 1x³ + 15x² + 75x + 125.

• 1x³ + 10x² + 50x + 100.

• 1x³ + 20x² + 100x + 200.

• 1x³ + 25x² + 125x + 250.

Terry simplifies the subtraction problem below: (−13x⁴ + 4x² − 5) − (−3x² + 4x − 15 − 8x⁴). Which of the following should be included in Terry’s answer? Select THREE correct answers.

• −4x

• −5x⁴

• 7x²

• −20

• −21x⁴

As part of an algebra exercise, Carter is examining the differences of quadratic functions. The first function has one root at x = 3 and the second function has roots at x = 6 and x = −2. Carter reasons that the two functions must be (x − 3)² and (x − 6)(x + 2). There are two ways to express algebraically the difference between two functions. Which of the following is one of these ways?

• 2x − 21

• −10x − 3

• x² + 10x + 3

• x² − 2x − 21

• -1

• 0

• 1

• 2

Anne divides a degree-4 polynomial by a degree-2 polynomial. What is the degree of the quotient?

• 2

• 1

• 3

• 4

• ( x + 6 )

• ( x - 6 )

• ( x + 3 )

• ( x - 3 )