Free Printable Polynomials and Imaginary Numbers Review

1.

Simplify -√-8

a)

-i√8

b)

-2i√2

c)

2i√2

d)

-8i

2.

i¹³

a)

-1

b)

1

c)

i

d)

-i

3.

Consider the function $f\left(x\right)=x^3+3x^2-18x-40.$ Select all that are true of this function. (Hint: it might help to first sketch a graph of $f\left(x\right)$ ).

a)

As $x\rightarrow\pm\infty,f\left(x\right)\rightarrow\infty.$

b)

As $x\rightarrow\infty,f\left(x\right)\rightarrow\infty.$

c)

As $x\rightarrow-\infty,f\left(x\right)\rightarrow-\infty.$

d)

As $x\rightarrow\pm\infty,f\left(x\right)\rightarrow-\infty.$

e)

As $x\rightarrow\infty,f\left(x\right)\rightarrow-\infty.$

4.

Which factor has a multiplicity of 2 of (x + 2)(x - 1)(x + 3)(x - 2)²? What does this tell you about the graph?

a)

(x + 2), and it will go straight through the x-intercept

b)

(x - 1), and it will make a parabola shape at the x-intercept.

c)

(x +3), and it will go straight through the x-intercept.

d)

(x - 2), and it will make a parabola shape at the x-intercept.

5.

What is the end behavior for
f(x)= -x³+2x+1

a)

A

b)

B

c)

C

d)

D

6.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

7.

Is the leading coefficient positive or negative

a)

positive

b)

negative

Polynomials and Imaginary Numbers Review

Total questions: 7

Worksheet time: 8mins

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