Q1:W7 Pretest - Quiz

What is the greatest common factor of the polynomial 6x⁴ – 12x³ + 4x²?

• 2x²

• 6x⁴

• 4𝑥²

• 12x³

Which of the following is NOT a factor of 𝑥³ + 5𝑥² − 𝑥 − 5?

• 𝑥 + 1

• 𝑥 − 5

• 𝑥 − 1

• 𝑥 + 5

Which of the following statements describes a polynomial that is completely factored?

• Each factor is a monomial.

• Each factor is a prime polynomial

• Each factor has a degree of 1

• The coefficient of each factor is 1

If the zeros of 𝑃(𝑥) are 1,−2, and 3, what are the factors of 𝑃(𝑥)?

• (𝑥 − 1)(𝑥 − 2)(𝑥 − 3)

• (𝑥 + 1)(𝑥 − 2)(𝑥 + 3)

• (𝑥 − 1)(𝑥 + 2)(𝑥 − 3)

• (𝑥 + 1)(𝑥 − 2)(𝑥 − 3

Find the other factor of 𝑥³ − 7𝑥² + 4𝑥 − 28 if 𝑥 − 7 is one of the factors.

• 𝑥² + 𝑥 + 4

• 𝑥² + 4

• 𝑥² − 𝑥 − 4

• 𝑥² − 2𝑥 − 4

Factor completely: 𝑥³ + 2𝑥² − 15𝑥 − 36

• (𝑥 + 3)(𝑥 + 3)(𝑥 + 4)

• (𝑥 + 3)(𝑥 − 3)(𝑥 + 4)

• (𝑥 + 3)(𝑥 + 3)(𝑥 − 4)

• (𝑥 + 3)(𝑥 − 3)(𝑥 − 4)

Find 𝑘 so that 𝑥 − 2 is a factor of 𝑥3 + 𝑘𝑥 − 4.

• −3

• −2

• −1

• 0

Which value of 𝑐 would make 2𝑥² + 𝑥 + 𝑐 NOT factorable?

• −15

• −9

• -6

• -1

Jasmin wants to renovate her room by changing her floor tiles first. Her room’s floor area is (2𝑥³ − 𝑥² − 18𝑥 + 9)𝑠𝑞.𝑓𝑡. How many tiles could fit in if each tile measures (𝑥 + 3)𝑠𝑞.𝑓𝑡? A

• (2𝑥² + 5𝑥 − 3) tiles

• (2𝑥³ − 5𝑥² + 33𝑥 − 90) tiles

• (2𝑥² − 7𝑥 + 3) tiles

• (2𝑥³ + 7𝑥² + 39𝑥 + 126) tiles

Which of the following polynomials is exactly divisible by 3𝑥 + 1?

• 6𝑥² + 17𝑥 + 5

• 3𝑥³ + 4𝑥² − 8𝑥 − 3

• 9𝑥² + 6𝑥 + 1

• All of the above