Polynomial Zeros Synthetic Division

Find all zeros. One zero has been given.
f(x) = x⁴ + 8x³ + 14x² - 8x - 15; x = -5

• -2,1,-1,-5

• -3,1,-1,-5

• 3,-3,4,0

• -1,1-5,3

Which is a zero of the graph?

• 0

• -1

• 1.5

• -3

Mathematical Equivalence

ON

• 1

• 2

• -2

• 7

• -7

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

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

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

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

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

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