Polynomial Functions Quiz

When the polynomial function p(x) = x^3 - kx^2 + x + 6, where k is a constant, is divided by x - 4, the remainder is 10. What is the value of f(3)?

• A. -60

• B. 0

• C. 27

• D. 36

What is the remainder when (3x^3 + 2x - 5) is divided by (x - 3)?

• A. -92

• B. -82

• C. 82

• D. 92

What is the value of k in the polynomial function f(x) = 3x^3 + 22x^2 + 17x + kx + 40 if one of its zeros is -5?

• -102

• -82

• 82

• 102

If f(x) = x^3 - 5x^2 - 18x + 72 has a factor of (x + 4), what are the zeros of f(x)?

• 6, 3, -8

• -6, -3

• 4, -6

• -4, 6

The polynomial f(m) = m^5 + 2m^4 - 21m^3 - 2m^2 + 116m - 120 has a factor of (m - 2) with a multiplicity of 3. What are the zeros of the function?

• 2, 2, 2, 3, -5

• 2, 2, 2, -3, 5

• 2, 2, 2, 5, -3

• 2, 2, 2, -5, 3

What are the solutions to the polynomial equation f(x) = x^3 + 2x^2 - 4x + 1 given that (x - 1) is a factor?

• 1

• -1

• 1 and -1

• 1, -1, and -1/2

Which expression is equivalent to (x^3 - 2x^2 - 15x)/(x^2 - 3x - 10)?

• (x + 3)/(x + 2)

• (x - 3)/(x + 2)

• (x + 3)/(x - 2)

• (x - 3)/(x - 2)

Which expression is equivalent to ( k^3 + \frac{6k^2 - 13k + 27}{k + 5} )?

• ( k^2 - 2 )

• ( k^2 - 2 )

• ( k^2 + 14 )

• ( k^2 + 14 )

Which expression is equivalent to ( \frac{2x^2 + 9x - 10}{x^2 + 4x - 2} )?

• ( 2 + \frac{x}{x} )

• ( 2 + \frac{x}{x} )

• ( 2 + \frac{x}{x} )

• ( 2 + \frac{x}{x} )

Which equation best represents the graph of the cubic equation shown?

• y = x^3 - 3x^2 + 2x - 1

• y = x^3 + 3x^2 - 2x + 1

• y = x^3 + x^2 - 4x + 4

• y = x^3 - x^2 + 4x - 4