Synthetic Division

When can we use Synthetic Division to divide polynomials?

• Any time we need to divide.

• When dividing by a binomial

• When dividing by any polynomial.

• Only when dividing by a linear factor with a leading coefficient of 1

Tags

CCSS.HSA.APR.D.6

For synthetic division, what would be the number in the left hand box?

• 0
• 1
• 2
• 3

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

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

Tags

CCSS.HSA.APR.D.6

What would be the coefficients we use to solve:

 $\frac{\left(5x^7+3x^6-9x^4+4x^3+2x-37\right)}{x+1}$  

•  $5,\ \ 3,-9,\ \ 4,\ \ 2,-37$  

•  $5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 0,\ \ 2,-37$  
  

•  $5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 2,-37$  

•  $5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 2$  

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

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 number goes in the yellow area?

• 9

• -9

• 6

• -6

Tags

CCSS.HSA.APR.D.6

What is the next step in synthetic division?

• Bring the 6 down

• Multiply the 9 and 6

• Bring the 9 down

• Add the 9 and 6

Tags

CCSS.HSA.APR.D.6