Remainder theorem (long division) and synthetic division

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

Tags

CCSS.HSA.APR.D.6

• x - 7
• x² - 7
• x + 7
• x² + 3x - 54

Tags

CCSS.HSA.APR.D.6

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

Tags

CCSS.HSA.APR.D.6

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

• True
• False

What does it mean to be a factor of a number?

• Divides evenly with a remainder of zero.
• Divides unevenly with a remainder of 1.

Tags

CCSS.HSA.APR.D.6

If 𝒙²+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?

• 0
• -3
• 9
• 5

Tags

CCSS.HSA.APR.B.2

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Tags

CCSS.HSA.APR.D.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.

Tags

CCSS.HSA.APR.D.6

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Tags

CCSS.HSA.APR.D.6

4x⁴+4x³-9x²-x+2 ÷ x-1

• 4x³+8x²-7x-2
• 4x³+19x²-x-2
• 4x³+8x²-x-9
• 4x³+8x²-x-2

Tags

CCSS.HSA.APR.D.6