(11/02) Synthetic Division vs Remainder Theorem

(11/02) Synthetic Division vs Remainder Theorem

Multiple Choice

What is the number that would be placed in the "box" when using synthetic division of  $\left(y^3+y^2-10\right)\div\left(y+3\right)$  ?

• 3

• -3

• 2

• 1

Multiple Choice

When setting up this problem using synthetic division, what numbers should fill in the squares?

• -1, 3, 15, -19, -30

• 1, -3, -15, 19, 30

• 1, 3, -15, 19, 30

• 1, -3, 15, -19, 30

Multiple Choice

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

Divide using synthetic division.

•  $2x^2-x+3$  

•  $2x^3-x^2+3x$  

•  $2x^2+11x+33+\frac{108}{x+3}$  

•  $2x^2-5x+12$  
  

Multiple Choice

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!
• No, it is not a factor!

Multiple Choice

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES
• NO

Multiple Choice

Which statement is true?

• (x-3) is a factor of (x³ - 3x² + 2x + 2)

• (x-3) is not a factor of (x³ - 3x² + 2x + 2)

• The remainder when (x³ - 3x² + 2x + 2) is divided by (x-3) is zero.

• The remainder when (x³ - 3x² + 2x + 2) is divided by (x-3) is not zero. The remainder is 17.

Multiple Choice

Find all the solutions of the following function:

 $f\left(x\right)=x^4-15x^2-16$  

•  $x=4,\ -4,\ 1,\ \&\ -1$  

•  $x=4,-4,\ i,\ \&\ -i$  

•  $x=4,\ -4,\ i\sqrt{1},\ -i\sqrt{1}$  

•  $x=\ 16,\ -16,\ 1,\ \&\ -1$  

Multiple Choice

Find all solutions of the following function:

 $f\left(x\right)=x^4-1$  

•  $x=1,\ -1,\ i,\ \&\ -i$  

•  $x=1,\ \&\ -1$  

•  $x=i\ \&\ -i$  

• No Solution