Day 29 - Synthetic Division Practice

When making the synthetic division frame, what should be the order of the polynomial coefficients for

 $\frac{3x-4x^3+6x^4+1}{x+3}$  

• 3  0  -4   6  1

• 6  -4  3  1  0

• 6  -4  0  3  1

• -6  4  0  -3  -1

Which term in the numerator is "missing" in this problem? $\frac{2x^3+5x^2+9}{x+3}$ 

•  $0x^4$  

•  $0x^3$  

•  $0x^2$  

•  $0x$  

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 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

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

TEKS.MATH.2A.7C

TEKS.MATH.A.10C

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

• -96

• 20

• 2

• 3

• -2

To complete the frame, what number goes in the yellow area?

• -3

• 3

• 8

• -8

After you bring down the 8, what is the next step in synthetic division?

• Multiply the -3 and 8

• Bring down the 23

• Add the -3 and 8

• Bring the -3 down

What would you do next for synthetic division?

• Add the 23 and -24

• Divide the -24 by 8

• Multiply the -3 and -24

• Bring down the -3

Use synthetic division

 $\frac{2x^4-7x^3+14x^2-55x+21}{2x-7}$  

• x²+7x-3

• 2x³+14x-6

• x²-7x+6

• 2x³+7x-3