final review

Factor this trinomial: 2x² + 11x + 12

• (x + 3)(2x + 4)

• (2x + 2)(x + 6)

• (x + 2)(2x + 6)

• (2x + 3)(x + 4)

Simplify.

• 3x³

• 3x⁵

• 3x^-3

• 3x^-5

The graph of f(x) = x² has been transformed so that the vertex is now (-2, 8), it opens upward, and is now 3 times as steep. What is the new equation?

• f(x) = (x - 2)² - 8

• f(x) = 3(x + 2)² + 8

• f(x) = -3(x + 2)² + 8

• f(x) = 3(x + 2)² - 8

Factor: 24x³ + 42x² + 9x

• 3x(4x + 3)(2x + 1)

• x(12x + 3)(2x + 1)

• x(2x + 3)(12x + 1)

• 3x(2x + 3)(4x + 1)

Name the polynomial based on degree and term:

3x² + 4x - 5

• cubic trinomial

• quadratic binomial

• quartic trinomial

• quadratic trinomial

Simplify

• 16

• 64

• 256

• 216

What is the simplest form of this radical?

• 
• 
• 
• Cannot be simplified

Choose all true statements about the function.

f(x) = 2x² + 4x - 6

I. The vertex is (-1, -8)

II. The graph opens downward

III. The discriminant is 64

IV. The function is a cubic trinomial

V. The function has a degree of 2

• I, III, and IV

• I and III

• III and V

• I, III, and V

Solve the system using any method.

y = -2x - 1

y = x + 5

• (-2, 3)

• (2, 3)

• (-2, -3)

• (2, -3)

Simplify: (2x⁴-4x²+5x+2) ÷ (x+2)

• 2x³-8x²+21-40+56/(x+2)
• 2x³-8x²+16x-27+ 52/(x+2)
• 2x³-8x²+16x-27+56/(x+2)
• 2x²-8x+21-40/(x+2)