Games Factoring Polynomials

Determine which of the following polynomials is not factorable (prime).

• 2𝑥² − 7𝑥 − 4

• 3𝑥² + 2𝑥 + 1

• −𝑥² − 3𝑥 + 10

• 4𝑥² − 1

MAFS.912.A-SSE.1.1a NO CALCULATOR Bella collects video games. She starts with 3𝑥 3 games, for some number 𝑥, and then buys another 7𝑥 4 games. She then gives away 𝑥 2 games, then sells 5𝑥 games, and final donates another 9 games. Write an expression for the number of games Bella now has in standard form.

• 3𝑥³ + 7𝑥⁴ − 𝑥² − 5𝑥 − 9

• 3𝑥³ − 5𝑥 + 7𝑥⁴ − 9 − 𝑥²

• 7𝑥⁴ + 3𝑥³ − 𝑥² − 5𝑥 − 9

• −9 − 5𝑥 − 𝑥² + 3𝑥³ + 7𝑥⁴

Factor out the greatest common factor from the terms of the polynomial 6𝑥³ − 12𝑥² + 18𝑥.

• 𝑥² (6𝑥 − 12) + 18𝑥

• 6𝑥³ − 6𝑥(2𝑥 − 3)

• 6(𝑥³ − 2𝑥² + 18𝑥)

• 6𝑥(𝑥² − 2𝑥 + 3)

Select all the quadratic functions that you can easily factor to find their zeros.

• 𝑓(𝑥) = 2𝑥² + 2𝑥 − 4

• 𝑓(𝑥) = 𝑥² − 𝑥 + 9

• 𝑓(𝑥) = 𝑥² + 6𝑥 + 9

• 𝑓(𝑥) = 𝑥² + 4𝑥 + 7

• 𝑓(𝑥) = 𝑥² − 𝑥 − 20

What is the factored form of 49𝑦² − 112𝑦 + 64?

• (7𝑦 + 8)²

• (7𝑦 − 8)²

• (7𝑦 − 32)(7𝑦 − 2)

• (7𝑦 − 16)(7𝑦 − 64)

The area of a rectangle 12𝑥² − 11𝑥 − 15 square units where 𝑥 is a positive number. Identify the missing term in the length.

• 3

• 4

• 5

• 12

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)