2nd 9 weeks review-AA

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

-3x²+x+4=0
How many roots does this equation have?
Hint: Use the Fundamental Theorem of Algebra

• 2
• 1
• 0
• 4

How many zeros are in the following function?
f(x)= x⁵ - 3x³ + x
Hint: Use the Fundamental Theorem of Algebra

• 2
• 1
• 5
• 3

According to the Rational Root Theorem, what are the all possible rational roots? 
x³ - 7x - 6 = 0

• ±1,±2,±3
• ±1,±7
• ±1,±2,±3±6
• ±1,±2,±3,±6±7

Tags

CCSS.HSA.APR.B.2

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

            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. 

Tags

CCSS.HSA.APR.B.2

If x - 2 is NOT a factor of (2x³ - 5x - 7), what is the remainder?

• -13
• 2x³ + 4x² +3x - 1
• 13/x-2
• -1/x-2

Tags

CCSS.HSA.APR.B.2

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)

Tags

CCSS.HSA.APR.B.2

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.2