Algebra Unit 7 Polynomials Review

Even Multiplicities have which of the following effects on the x-axis?

• touches and bounces back

• wiggle

• crosses the x-axis

Solve by using Rational Root Theorem:

x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, 3

• -1, -2, - 3

• 1,-2,-3

If you were dividing x⁶ + 4x³ + 2 by a binomial, how many 0's would you need when setting up the top row of your synthetic division?

• 0

• 2

• 4

• 6

According to the Rational Root Theorem, what are the all possible rational roots? 2x³ - 11x² + 12x + 9 = 0

• ±1,±2

• ±1,±3±9,±1/2,±3/2,±9/2

• ±1,±3,±9

• ±1,±2,±1/3,±2/3,±1/9,±2/9

How many positive solutions does the following polynomial have? f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 3 or 1

• 4

• 3

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

Find all zeros.

• 
• 
• 
• 

What is the difference of the two polynomials?

• 7y² + 4xy – 3

• 7y² + 8xy – 3

• 7y² + 4xy + 3

• 7y² + 8xy + 3

Which statement is true about the polynomial –3x⁴y³ + 8xy⁵ – 3 + 18x³y⁴ – 3xy⁵ after it has been fully simplified?

• It has 3 terms and a degree of 5.

• It has 3 terms and a degree of 7.

• It has 4 terms and a degree of 5.

• It has 4 terms and a degree of 7.

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a² + 2. What is X²Y – Z in simplest form?

• 2a² – 5a – 2

• 3a³ – 6a² – 2

• –3a³ – 2

• –3a² – 2