Synthetic and Long Division Polynomials

(2x⁴-7x³+14x²-55x+21)

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(2x-7)

use synthetic division

• x²+7x-3

• 2x³+14x-6

• x²-7x+6

• 2x³+7x-3

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

(x²+4x-45)⁄(x+9) (use synthetic division)

• x+5

• -x+5

• -x-5

• x-5

solve using long division

• 2x² - x + 1 + 9/(x-2)

• 2x³ - x² + x + 9

• 2x² - x + 10

• x² - 2x + 1

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

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

Solve the following: (n³ + 10n² + 31n + 32) /(n +6)

• n² + 4n + 5, remainder -12

• n² + 4n + 8, remainder -14

• n² + 4n + 7, remainder -11

• n² + 4n + 7, remainder -10

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4 - 12/(x + 3)

• 2x² - 2x + 6 - 23/(x + 3)

• 2x² - 2x + 8 - 20/(x + 3)

• 2x² - 4x + 1

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

Divide using synthetic division

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/(x - 2)

• 2x² - 9x - 15 - 23/(x - 2)