Friday Algebra 2 Closure 4/23/21

For synthetic division, what would be the number in the left hand box? (Basically, what is the k-value?)

• 0

• 1

• 2

• 3

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

Divide using synthetic division.

• x - 7

• x² - 7

• x + 7

• x² + 3x - 54

What should be the order of the polynomial coefficients if
 $\left(6x^4-4x^3+3x+1\right)\div\left(x+3\right)$  

• 3  0  -4  6  1

• 6  -4  3  1  0

• 6  -4  0  3  1

• -6  4  0  -3  -1

 $\left(2x^3+5x^2+9\right)\div\left(x+3\right)$  

Which term is missing in this problem?

• x⁴

• x³

• x²

• x

Give the correct name for 
2x³+5x

• Linear Binomial
• Cubic Binomial
• Quadratic Trinomial
• Linear Trinomial

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.

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