Final Review

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)

Factor 9x²-64

• (3x-8)(3x+8)
• (2x-8)(2x+8)
• (3x-4)(3x+4)
• (3x-8)²

How many real solutions does x²-8x+16 = 0 have?

• 0
• 1
• 2
• infinitely many

Find the value of the discriminant: 4x²-7x+8

• √79
• √-79
• -79
• -7±i√79/8

Write the equation in vertex form:
y = -2x²+16x+4

• y=-2(x-4)²+4
• y =-2(x+4)²+36
• y=-2(x+4)²+4
• y =-2(x-4)²+36

Solve:           (x-4)²-18 = 0

• x = 4 + 3√2
• x = 8.24, -.24
• x = 4 ± 3√2
• x = 4 ± √18

The quadratic whose roots are -3 and 4.

• x²+x-12
• x²-x + 12
• x²+x+12
• x²-x-12

What is the value: √-9 ⋅ √-16

• -12
• 12i²
• 12i
• -12i

Simplify:
(2+3i)/(5+2i)

• (11 + 16i)/29
• (16 + 11i)/29
• 16/29
• (4 + 11i)/29

What is the vertex:
y = 2(x-3)²+18

• (-3,-18)
• (3,-18)
• (-3,18)
• (3,18)