2.3 Synthetic Division Notes

2.3 Synthetic Division

Instructions

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Follow along with the videos
and answer the questions provided.

Multiple Choice

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

Multiple Choice

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

• True
• False

Multiple Choice

What would be the coefficients of the dividend that we should use to solve:

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

• $$5,\ \ 3,-9,\ \ 4,\ \ 2,-37$$  

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

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

• $$5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 2$$  

Multiple Choice

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.

Multiple Choice

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes
• no

Multiple Choice

Let f(x) = 4x² -33x -27.  Is k = 9 a zero of the function?

• yes
• no

Multiple Choice

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Assignment

Delta Math: 2.3 Synthetic Division

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