1st Semester Review (Part 1)- Algebra 3

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5, ±1/2, ±5/2
• ±1, ±2, ±5, ±1/2, ±5/2
• ±1, ±5
• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

            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 f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

Tags

CCSS.HSA.APR.D.6

Find ALL the zeros of the function 
f(x) =  x ² +2x + 10

• -1 + 3i, -1-3i
• 1 + square root 19, 1- square root 19
• 2 + 6i , 2 - 6i 
• -2+6i, -2-6i

Write a polynomial function with rational coefficients that has zeros - 4 and 5i.

• P(x) = x³ + 4x² + 25x + 100

• P(x) = 5x³ - 4x² + 25x + 100

• P(x) = x³ + x² - 25x + 100

• P(x) = 4x² + 5

Tags

CCSS.HSA.APR.B.3

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1
• x = 1 and x = -9
• x= 4 and x = -2
• No Solution

• x = 2
• x = 4
• x = 7
• x = 9

• x = -6
• x = 3
• x = -3
• x = 5±

Tags

CCSS.HSA.REI.A.2