Dividing Polynomials

Perform long division to divide the polynomial (3x^3 + 2x^2 - 5x + 1) by the binomial (x - 2).

• 3x^2 + 8x + 11 with a remainder of -23

• 3x^2 + 8x + 11 with a remainder of 23

• 3x^2 + 8x + 11 with a remainder of 0

• 3x^2 + 8x + 11 with a remainder of 23

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Divide the polynomial (4x^3 - 6x^2 + 2x - 8) by the monomial 2.

• 2x^3 - 3x^2 + x - 10

• 2x^3 - 3x^2 + x - 6

• 2x^3 - 3x^2 + x - 4

• 2x^3 - 3x^2 + x - 2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find the quotient when the polynomial (5x^4 + 3x^3 - 2x^2 + 4x - 1) is divided by the binomial (x - 3).

• 5x^3 + 20x^2 + 62x + 194

• 5x^3 + 20x^2 + 62x + 200

• 5x^3 + 20x^2 + 62x + 195

• 5x^3 + 20x^2 + 62x + 193

Tags

CCSS.HSA.APR.D.6

Perform long division to divide the polynomial (6x^3 - 5x^2 + 2x - 3) by the binomial (x + 2).

• 6x^2 - 17x + 32

• 6x^2 - 17x + 36

• 6x^2 - 17x + 30

• 6x^2 - 17x + 34

Tags

CCSS.HSA.APR.D.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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Divide the polynomial (3x^4 - 2x^3 + 5x^2 - 4x + 1) by the monomial 3.

• x^4 - (2/3)x^3 + (5/3)x^2 - (4/3)x + 1/3

• x^4 - (2/3)x^3 + (5/3)x^2 - 4x + 1/3

• x^4 - (2/3)x^3 + (5/3)x^2 - (4/3)x + 1/2

• x^4 - (2/3)x^3 + (5/3)x^2 - (4/3)x + 1

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find the quotient when the polynomial (4x^3 + 2x^2 - 3x + 1) is divided by the binomial (x + 4).

• 4x^2 - 14x + 60

• 4x^2 - 14x + 45

• 4x^2 - 14x + 55

• 4x^2 - 14x + 50

Tags

CCSS.HSA.APR.D.6

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

• 2x^3 - x^2 + 5x + 6

• 2x^3 + x^2 - 5x + 6

• 2x^3 + x^2 + 5x + 6

• 2x^3 + x^2 + 5x - 6

Tags

CCSS.HSA.APR.D.6

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)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7