Polynomials and Imaginary Numbers Review

Simplify -√-8

• -i√8
• -2i√2
• 2i√2
• -8i

i¹³

• -1
• 1
• i
• -i

Tags

CCSS.HSN.CN.A.2

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  $f\left(x\right)$  ).

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

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

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

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

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

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?

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

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

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

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

Tags

CCSS.HSA.APR.B.3

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

• A
• B
• C
• D

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Is the leading coefficient positive or negative

• positive
• negative