Unit 2 Mid-Unit Review: Graphing Polynomials

Convert the following into a standard form polynomial: $$\left(x-2\right)\left(3-2x\right)$$  

Convert the following into a standard form polynomial: $$\left(-2x^2+7x-6\right)\left(x+5\right)$$  

Which of the following are zeros of this factored polynomial? $$\left(2x+3\right)\left(x-1\right)\left(x-\frac{1}{4}\right)^2$$  

Which of the following are zeros of this factored polynomial? $$\left(x-2\right)\left(4x+10\right)^2\left(5-x\right)$$  

A polynomial has x-intercepts at -2, 0, 3/4 and 7. Select the expression that could represent this polynomial

Sketch a graph of the polynomial: $$-\left(2x-5\right)\left(x+2\right)^2\left(x+4\right)$$  

Sketch a graph of the polynomial: $$\left(x+1\right)^3\left(x-4\right)\left(x-0.5\right)$$  

Brenna's money grows by a rate of $$x$$  each year. If she had 500 growing for 4 years how much money would she have?

Brenna was given gifts each year in college and let them grow at the same rate $$x$$  . The following polynomial represents her money. $$f\left(x\right)=500x^4+200x^3+250x^2+100x+50$$   How much money would she have if $$x=1.07$$  ? Round to the nearest cent.

(a)  

Where are the local minimums of the graph?