The Factor Theorem

​Remainder theorem, factor theorem and synthetic division

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​Factor Theorem

​Remainder Theorem

​Synthetic Division

Multiple Choice

What is the remainder if $$P\left(x\right)=x^4-3x^2-2x+5$$  is divided by $$x+2$$  ?

• 13

• 23

• -13

• -23

Multiple Choice

Is $$x+1$$   a factor of $$x^{40}-1$$  ?

• Yes

• No

Multiple Choice

What is the quotient?

$$P\left(x\right)=2x^3+4x^2-3x-2$$  

$$\frac{P\left(x\right)}{x+3}$$  ?

• -38

• 36

• 9

• -2

• -81

​Long Method

​Synthetic Division

​Any Question???

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​Salamuch!