Practice: The Factor Theorem(2)

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

Using the factor theorem, determine whether (x + 3) is a factor of

2x³ + x² - 9x + 18

• (x + 3) is a factor

• (x + 3) is not a factor

Using the factor theorem, determine whether (x - 1) is a factor of

2x³ + x² - 9x + 18

• (x - 1) is a factor

• (x - 1) is not a factor

Using the factor theorem, determine whether (x - 2) is a factor of

2x³ - 3x² - 3x + 2

• (x - 2) is a factor

• (x - 2) is not a factor

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES
• NO

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!
• No, it is not a factor!

using factor theorem, check whether x+1 and 2x - 3 are factors of 2x³ - 9x² + x + 12

• yes

• no

Answer explanation