Topic 6 Review Doodle Notes

Topic 6 Review
Doodle Notes

Complex Numbers Operations

​Multiplying Complex Numbers

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Multiple Choice

Determine the product of the given numbers. Write the answer in the form a+bi, where a and b are real numbers.

. $$\left(7-2i\right)\left(2+3i\right)+\left(3-5i\right)\left(9+5i\right)$$

• $$72-13i$$

• $$41+i$$

• $$41-i$$

• $$72+13i$$

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​Long Division

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​Synthetic Division

Remainder Theorem:​
f(-4)=30

Multiple Choice

Divide:
(9x² + 6x)  ÷ 3x

• 3x + 2
• 3x² + 2x
• 5x²
• 3x + 6

Multiple Choice

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

Multiple Choice

Which term is missing in this problem when you set up long division?
(2x³ + 5x² + 9) ÷ (x + 3)

• x⁴
• x³
• x²
• x

Multiple Choice

Someone divided $$2x^4-9x^3-21x^2+88x+48$$ by $$\left(x-4\right)$$ using synthetic division.

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

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​-12

​-1

​3

​-4

​Find the roots with factoring and graphing

​Two real roots

Multiple Select

Which of the following mean the same thing as "roots?"

• x-intercepts

• zeros

• y-intercepts

• solutions

Multiple Choice

What are the zeros of x²+9x+14

• 2, 7
• -2, -7
• 2, -7
• -2, 7