Final Review 2025

Which of the following is a factor of the polynomial equation whose solutions are x = -10, x = ±4i, and x = ±√3?

• (x - 10)

• (x² - 16)

• (x² + 16)

• (x² + 3)

Identify the value that is not a root of the polynomial equation: g(x) = x⁴ + 4x³ - 3x² - 12x

• 0

• ±√3

• -4

• 4

Find the quotient using synthetic division: (p⁴ + 2p³ + 9p + 27) ÷ (p + 3)

• p³ - 1p² + 3p + 27/(p + 3)

• p² - 3

• p³ + 5p² + 15p + 54 + 189/(p + 3)

• p³ + 3

What is the remainder when the polynomial (2x⁵ + 14x⁴ + 25x³ + 14x² + 20x - 15) is divided by (x + 3)?

• 1

• 24

• 26

• None of these

• None of these

• 10/5

• 5/10

• 1/2

• 25/100

Simplify: 2√27 + 4√75

• 14√3

• 26√3

• 10√3

• 20√3

• 13