Factor Theorem and Long Division

Using the factor theorem, determine whether (x + 2) is a factor of
x³ + x² - x - 1

• (x + 2) is a factor

• (x + 2) is not a factor

Using the factor theorem, determine whether (x - 1) is a factor of
x³ + x² - x - 1

• (x - 1) is a factor

• (x - 1) is not a factor

f(x) is a polynomial. f(-0.5) = 0

Identify a factor of f(x)

• (x - 2)

• (x + 2)

• (2x - 1)

• (2x + 1)

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1

• x + 2

• x + 5

• x + 10

Which binomial is a factor of
f(x)= x³ + x² -24x +36?

• x + 2

• x + 3

• x + 6

• x + 9

Which binomial is a factor of
f(x)= 6x³ -35x² +34x +40?

• 2x - 3

• 2x - 5

• 3x - 2

• 5x - 2

What are the three factors for
 (x³ -3x² -4x +12) ÷ (x + 2)?

• (x-2) (x+2) (x+3) 

• (x-2) (x-2) (x+3)

• (x+2) (x+2) (x+3)

• (x-2) (x+2) (x-3)

When p(x) = 9x⁴- 45x³ + 37x² + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?

• p(2) = 656

• p(2) = 652

• p(2) = -64

• p(2) = -368

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 

• (x-1) (x+5) (x + 3) 

• (x+1) (x+5) (x-3) 

• (x+1) (x-5) (x-3)