Semester Review Algebra

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3

• x = 6 and x = -2

• x = -1 and x = -3

Simplify.

• -5i

• 5

• 5i

• -5

Solve and check for extraneous solutions

• x= - 3 &x= -8

• x= -3 & -8 is extraneous 

• No Solution

• x= -8 & -3 is extraneous 

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

By the end of this 6 week program you will be ready to ace the ​ (a)   .

• first semester of Algebra 2

• first 9 weeks of Algebra 2

• entire school year of Algebra 2

• first semester of Spanish

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

• -1, 2, ±2

• -1, 2, ±2i

• 1, -2, 4

• 1, 2, 2i

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

Factor: q² - 121

• (q + 11) (q - 11)

• (q - 11) (q - 11)

• (q + 11) (q + 11)

• Can't factor using Diff. of Squares

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)

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 8x⁷-8x-28x

• 2x⁷ -2x -7