Dividing Polynomials Synthetic Division

Find all factors of the polynomial using synthetic division. x² + x − 2 = 0

• (x+2)(x-1)

• (x-2)(x+1)

• (x-2)(x-1)

• (x+2)(x+1)

Find all zeros of the polynomial using synthetic division. 2x² - 3x − 2 = 0

• x = -1/2, 2

• x = -2, 1/2

• x = -2, -1/2

• x = 1/2, 2

Find all zeros of the polynomial using synthetic division. 4x² + x − 3 = 0

• x = -3/4, 1

• x = -1, 3/4

• x = -1, -3/4

• x = 3/4, 1

Find all zeros of the polynomial using synthetic division. 4x² + 25x + 25 = 0

• x = 5, -5/4

• x = -5, 5/4

• x = -5, -5/4

• x = 5, 5/4

Use synthetic division to divide the polynomial (5x^3 + 2x^2 - 4x + 1) by the binomial (x + 3).

• 5x^2 - 13x + 35 - 104/(x - 3)

• 5x^2 - 13x + 35 + 104/(x + 3)

• 5x^2 - 13x + 35 - 104/(x + 2)

• 5x^2 - 13x + 35 - 104/(x + 3)

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)

• 2x² - 2x + 6  R(-23)

• 2x² - 2x + 8  R(-20)

• 2x² - 4x + 1  R0

Use synthetic division to divide the polynomial (2x^3 + 4x^2 - 3x + 1) by the binomial (x - 1).

• 2x^2 + 6x - 3

• 2x^2 + 4x + 3

• 2x^2 + 2x + 3

• 2x^2 + 6x + 3

Use synthetic division to divide the polynomial (2x^4 - 5x^3 + 3x^2 + 4x - 1) by the binomial (x + 1).

• 2x^3 - 7x^2 + 10x - 1

• 2x^3 - 7x^2 + 10x + 6

• 2x^3 - 7x^2 + 10x + 1

• 2x^3 - 7x^2 + 10x - 6

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Use synthetic division to determine whether the first polynomial is a factor of the second.

• Yes

• is

• No

• is not