Polynomial Review!!

 (End Behavior): Find the end behavior of the polynomial $f\left(x\right)=-x^3+x^2+4x\ -8$ 

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 (End Behavior): Find the end behavior of the polynomial $f\left(x\right)=\left(x+1\right)\left(x-3\right)\left(x+7\right)^2$ 

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 (End Behavior): Find the end behavior of the graph

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(End Behavior): Find the end behavior of the graph

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(Graphing): Write an equation for the graph below

• $f\left(x\right)\ =\ \left(x+3\right)\left(x-2\right)^2\left(x-5\right)$

• $f\left(x\right)\ =\ -\left(x+3\right)\left(x-2\right)^2\left(x-5\right)$

• $f\left(x\right)\ =\ \left(x-3\right)\left(x+2\right)^2\left(x+5\right)$

• $f\left(x\right)\ =\ \left(x-3\right)^2\left(x+2\right)\left(x+5\right)$

(Graphing): Write an equation for the graph below

• $f\left(x\right)\ =\ x\left(x+2\right)^2\left(x-2\right)$

• $f\left(x\right)\ =\ x\left(x+2\right)\left(x-2\right)$

• $f\left(x\right)\ =\ \left(x-2\right)\left(x+2\right)$

• $f\left(x\right)=-x\left(x+2\right)\left(x-2\right)$
  

(Characteristics) Write the factored form equation for a polynomial with a degree of 3 and zeros at x = 1 and x = 3

• $f\left(x\right)\ =\ \left(x-1\right)\left(x-3\right)^2$

• $f\left(x\right)\ =\ \left(x-1\right)\left(x-3\right)$

• $f\left(x\right)\ =\ \left(x+1\right)\left(x+3\right)^2$

• $f\left(x\right)\ =\ \left(x+1\right)\left(x+3\right)$

(Synthetic Division): Given the following work, what are the factors of the polynomial?

• (x-1)(x-2)(x-1)

• (x-1)(x+2)(x-1)

• (x+1)(x+2)(x-1)

• (x+1)(x-2)(x-1)

(Factor Theorem): Using the factor theorem, which of the below is a true statement?

• (x+1) is a factor

• (x-1) is a factor

• (x+1) is not a factor

• x = 1 is a root

(Remainder Theorem): Using the remainder theorem, which of the below is a true statement?

• (x-4) is a factor

• (x+4) is a factor

• (4,27) is a point on the graph

• (27,4) is a point on the graph