Polynomials and Polynomial Functions

• x + 7
• x + 30
• x² + 7
• x² + 30

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

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

Is (x-8) a factor of (x²-16x+64)?

• Yes

• No

x-2 is a factor of 3x³ -5x² +ax +2 .The value of a is:

• 21

• 3

• -21

• -3

Find all the factors of   x³ -3x² -4x +12 given that -2 is a zero.

• (x-2) (x+2) (x+3) 

• (x-2) (x-2) (x+3)

• (x+2) (x+2) (x+3)

• (x-2) (x+2) (x-3)

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)

• (0,25)

• (0,125)

• (0,5)

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

• Degree of 1

• Degree of 2

• Degree of 3

• Degree of 4

Classify by the DEGREE:
2x² - 5

• Degree of 1

• Degree of 2

• Degree of 3

• Degree of 4

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1

• 2

• 3

• 4