Remainder & Rational Root Theorem

Which of the following is a COMPLETE list of all possible Rational Zeros?

f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3

• ±1, 7

• ±1, ±3, ±1/7, ±3/7

• ±1, ±3, ±7, ±1/3, ±7/3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

            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

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Solve by using Rational Root Theorem:
x⁴ - x³ + 2x² - 4x - 8 = 0

• -1, 2, ±2
• -1, 2, ±2i
• 1, -2, 4
• 1, 2, 2i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

If 𝒙²+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?

• 0
• -3
• 9
• 5

Tags

CCSS.HSA.APR.B.2

What is the degree of the function graphed here?

• 6
• 4
• 3
• 5

Tags

CCSS.HSA.REI.D.10

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=y

• (x - 4)(x - 2)(x + 8)=y

• (x - 4)(x + 2)(x + 8)=y

• (x + 4)(x + 2)(x + 8)=y

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

How many zeroes are shown in the graph?

• 1

• 2

• 3

• 4

Tags

CCSS.HSA.APR.B.3

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Tags

CCSS.HSA.APR.B.3