1st Semester Review (Part 1) - Algebra 2

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

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

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

How many positive real solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 4

• 3 or 1

• 3

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Tags

CCSS.HSA.APR.B.3

Factor: q² - 121

• (q + 11) (q - 11)

• (q - 11) (q - 11)

• (q + 11) (q + 11)

• Can't factor using Diff. of Squares

Tags

CCSS.HSA.APR.C.4

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)
• (x² + 1) (x - 343)
• (x - 7) (x² + 7x + 49)
• (x² - 343) (x + 1)

Tags

CCSS.HSA.APR.C.4

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x
• 2x⁸-2x²-7x
• 8x⁷-8x-28x
• 2x⁷ -2x -7

Tags

CCSS.HSA.APR.D.6

Divide: (2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Tags

CCSS.HSA.APR.D.6

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$  

•  $2x-4$  

•  $2x+4$  

•  $2x-1-\frac{16}{4x-5}$  

•  $2x-4-\frac{40}{4x-5}$ 

Tags

CCSS.HSA.APR.D.6