Finding the Zeros of a Polynomial

Find the zeros of the polynomial f(x) = x^3 - 6x^2 + 11x - 6 using the factor theorem.

• x = 2, x = 3, x = 4

• x = 1, x = 2, x = 3

• x = 0, x = -1, x = -2

• x = 4, x = 5, x = 6

Given the polynomial g(x) = x^4 - 5x^3 + 8x^2 - 4x, find the zeros using the factor theorem.

• x = -1

• x = 3

• x = 0, x = 1, x = 2, x = 2

• x = 5

Using the factor theorem, find the zeros of the polynomial p(x) = x^3 - 4x^2 - 5x + 14.

• x = 10, x = -5, x = 4

• x = 2, x = -1, x = 7

• x = 0, x = 3, x = -2

• x = 5, x = -3, x = 1

Find the zeros of the polynomial r(x) = 2x^4 - 7x^3 + 3x^2 + 2x - 8 using the factor theorem.

• The zeros of the polynomial r(x) = 2x^4 - 7x^3 + 3x^2 + 2x - 8 are x = -2, x = 1, x = 2

• x = 3, x = -5, x = 4

• x = 0, x = 5, x = -4

• x = -3, x = 4, x = -1

Given the polynomial t(x) = x^4 - 4x^3 + 3x^2 + 2x - 8, find the zeros using the factor theorem.

• The zeros are x = -3, x = -4, x = -5, x = -6

• The zeros are x = 0, x = 1, x = -2, x = 3

• The zeros are x = 5, x = 6, x = 7, x = 8

• The zeros are x = -1, x = 2, x = 2, x = 2

2c. List the roots/solutions.

• x = -1, 0, 1

• x = -1

• x = 0, 1, 1

• x = -1, 1

• x = -4, -4, -4

• x = 0, 1, -4

• x = 4i, 0

• x = -4, -4, 0

Find all the zeros of the polynomial function:

5. Find all the zeros of the polynomial function: