Polynomial Review

When a polynomial function f(x) is divided by
 (x - 8), the remainder is 12. 
What is f(8)?

• -8
• 8
• 12
• cannot be determined

Tags

CCSS.HSA.APR.B.2

When a polynomial function f(x) is divided by
 (x + 2), the remainder is 0. 
What is f(2)?

• -8
• 8
• 12
• cannot be determined

Tags

CCSS.HSA.APR.B.2

When a polynomial function f(x) is divided by
 (x + 2), the remainder is 0. 
What is f(-2)?

• -2
• 0
• 2
• cannot be determined

Tags

CCSS.HSA.APR.B.2

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

• x = -3
• x = 3
• x = 0
• cannot be determined

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

When setting up this synthetic division, what polynomial is being divided?

• 2x⁴ + 3x² - x + 2
• 2x⁴ + 3x³ - x² + 2
• 2x⁴ - 3x² + x - 2
• cannot be determined

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

When setting up this synthetic division to divide 2x⁴ + 3x² - x + 2 by (x - 1), what number goes into the red circle?

• -1
• 1
• 2
• cannot be determined

Tags

CCSS.HSA.APR.B.2

Polynomial equation x⁴ - 4x³ + 5x² - 4x + 4 = 0 has a solution of x = 2.  Is this synthetic division set up correctly in order to find factors of the polynomial?

• yes
• no

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Polynomial function f(x) =  x⁴ - 4x³ + 5x² - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?

• yes
• no

Tags

CCSS.HSA.APR.B.2

(x - 2) divides polynomial function
 f(x) =  x⁴ - 4x³ + 5x² - 4x + 4 two times.  What numbers should be used to set up the second synthetic division if the goal is to factor f(x)?

• 1   -4   5   -4   4
• 1   -2   1   -2
• 2    -4   2   -4
• cannot be determined

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

(x - 2) divides polynomial function
 f(x) =  x⁴ - 4x³ + 5x² - 4x + 4 two times.  Which of these is a complete factorization of f(x)?

• (x - 2)²(x - 1)(x + 1)
• (x - 2)² (x + 1)
• (x - 2)²(x² + 1)
• cannot be determined

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3