The function

 $C\left(x\right)\ =\ 2.46x^3-22.37x^2+53.81x+548.24$  can be used to approximate the number, in thousands, of international college students studying in the United States x years since 2010.  How many international college students can be expected to study in the U.S. in 2025?

• 4624.24 students

• 2286.04 students

• 4,624,640 students

• 2,286,040 students

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Given the polynomial and one of its factors, find the remaining factors of the polynomial. Check all that apply:

 $2x^3+17x^2+23x-42;\ x-1$  

• (x+12)

• (x+7)

• (x+6)

• (2x+7)

• (x+1)

Tags

CCSS.HSA.APR.B.2

State the possible number of positive real zeros, and negative real zeros of the function:

 $f\left(x\right)=3x^5-8x^3+2x-4$  

• 3 or 1 positive, 2 or 0 negative

• 2 or 0 positive, 3 or 1 negative

• 2 or 0 positive, 2 or 0 negative

• 3 or 1 positive, 3 or 1 negative

Solve the equation. Choose all solutions that apply.

 $x^3+1=0$  

• x = -1

• x =  $\frac{1\pm i\sqrt{3}}{2}$  

• x =  $\frac{1\pm3i}{2}$  

• x = 1

• x = 0

Tags

CCSS.8.EE.A.2

How many of each type of root does this equation have? Check all that apply.

 $16x^4-625=0$  

• 1 negative

• 1 positive

• 2 imaginary

• 3 imaginary

• 2 negative

What is the remainder when you use synthetic substitution to find f(-5)?  

 $f\left(x\right)=x^3+2x^2-3x+1$  

Tags

CCSS.HSF.IF.A.2

Using Descartes' Rule of Signs, how many possible NEGATIVE roots are there for the polynomial f(x) = x⁴+x³+x²+x+5. Select all that apply.

• 0

• 1

• 2

• 3

• 4

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3
• 0, -1, 3
• 1, -3
• 0, -3, 1

Tags

CCSS.HSF-IF.C.7C