Solutions of Polynomials

Find the roots of 0=x³-4x²+2x-8

• ±2,4

• ±2i,4

• ±i√2,4

• ±√2,4

Find a polynomial function of degree 3 that has zeroes at
x=1, 2, and 3

• x³ - 6x² + 11x - 6

• x³ - 11x² - 6x - 6

• x³ - 6x² - 6x - 6

• x³ - 11x² - 11x - 11

Find a polynomial function that has zeroes at
x=1+√2, 1-√2, and 1

• x³ - 3x² + x +1

• x³ - 3x² + 3x +1

• x³ - x² + x +3

• x³ - 3x² + 3x +3

Given one complex zero use the conjugate root theorem to find another.  Zero is 7-5i

• -7+5i

• 7-5i

• -7-5i

• 7+5i

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8

• 9

• 5

• 3

The degree of the polynomial determines the number of roots.

• True

• False

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Solve    2x² + 7x - 15 = 0

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Factor: x² – 5x – 24

• (x - 5)(x + 19)

• (x - 8)(x + 3)

• (x - 3)(x + 8)

• (x - 19)(x + 5)

Use the Fundamental Theorem of Algebra to determine the total number of solutions.

• A

• B

• C

• D