Remainder Theorem and Factor Theorem

What is the remainder when 3x² - 5x + 6 is divided by x - 2 ?

• 8

• - 4

• 28

• 32

Which of the following is a factor of 2x³ - x² - 21x + 18 ?

• x - 1

• x - 2

• x - 3

• x - 4

Which of the following is a root of 3x⁴ + 6x³ - 4x² - 6x + 4 ?

• 0

• 1

• -1

• -2

Which of the following is a factor of 6x³ + 5x² - 2x - 1 ?

• x - 1

• 2x - 1

• 3x - 1

• 4x - 1

- 4 is a root of x⁴ + ax³ - 19x² - 46x + 120

What is the value of a?

• a = 1

• a = 2

• a = 3

• a = 4

What is the remainder when 5x² + 3x - 7 is divided by x + 9 ?

• 439

• 425

• 385

• 371

What is the remainder when 2x² - 3x + 5 is divided by 2x - 1 ?

• 2

• 3

• 4

• 5

Which of the following is a root of x⁵ - 2x⁴ - 9x³ + 17x² - x + 6 ?

• - 4

• - 3

• 3

• 4

2 is a root of kx⁴ - 11x³ + kx² + 13x + 2

What is the value of k?

• k = 1

• k = 2

• k = 3

• k = - 4

What is the remainder when 3x² + 6x - 4 is divided by 5x + 2 ?

• - 5.92

• - 1.12

• 1.12

• 5.92