5.5-5.7 Review

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Level 2 Question 11
64-27a³

• (4-3a)(9a²+12a+16)
• (3a-4)(3a²+12a+16)
• (4-3a)(3a²+12a+16)
• (4-3a)³

Factor by grouping:

x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Write an equation of least degree given the set of roots: 2, 5i, -5i

• x³ - 2x² + 25x - 50

• x³ + 2x² - 25x + 50

• x³ + 10xi - 50

• x³ + 2x² + 25x + 50

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

How many positive solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 4

• 3 or 1

• 3

What is f(-3) if f(x)=3x³ -5x² -4x +1? Use, synthetic substitution.

• -25

• 25

• 113

• -113