Finding Zeros of Polynomials

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

Tags

CCSS.HSA.APR.B.2

If f(x) = 2x^3 - 5x^2 + 3x - 2, determine whether x - 1 is a factor of f(x) using the factor theorem.

• No

• Not sure

• Maybe

• Yes

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.2

Check if x + 2 is a factor of the polynomial h(x) = 3x^3 - 7x^2 + 4x - 8 using the factor theorem.

• Not sure

• Yes

• Maybe

• No

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSF-IF.C.7C

Determine whether x - 3 is a factor of the polynomial q(x) = 2x^3 - 11x^2 + 12x - 9 using the factor theorem.

• Not sure

• No

• Yes

• Maybe

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.2

Check if x + 1 is a factor of the polynomial s(x) = 4x^3 - 3x^2 - 5x + 2 using the factor theorem.

• No

• Maybe

• Yes

• Not sure

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSF-IF.C.7C

Using the factor theorem, determine whether x - 2 is a factor of the polynomial u(x) = 3x^3 - 5x^2 + 7x - 6.

• Maybe

• No

• Yes

• Not sure

Tags

CCSS.HSA.APR.B.2