Polynomials, Exponential & Logarithmic Solving

Find all of the zeros of the polynomial function.
 $f(x)=x^3-2x^2-6x-45$  
Hint: Graph the polynomial function and find the rational zero, then use synthetic division to determine the remaining polynomial. You will need to solve the remaining polynomial by using the the quadratic formula!

• 1,5,-5

•  $5,\frac{-3\pm i\sqrt{2}}{2}$  

• 5,5,5

•  $5,\ \frac{-3\pm3i√3}{2}$  

Given that -1 is a zero of f(x), 
Find all of the zeros of the polynomial function. $f(x)=x^4-3x^3-2x^2-6x-9$  
Use synthetic division to determine the remaining polynomial. You will need to solve the remaining polynomial by using the the quadratic formula!

•  $-1,-4\ ±\ i√2$  

•  $-1,\ 4\ ±\ i√2$  

•  $-1,\ 4\ ±\ 2i$  

•  $-1,\ 4$  

Find all the zeros of the polynomial.

• A

• B

• C

• D

• A
• B
• C
• D

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve:  $2e^{3x}=16$  
Select the first incorrect step in solving this equation.

• STEP 1: $\frac{2e^{3x}}{2}=\frac{16}{2}$  

• STEP 2: $\ln\left(e^{3x}\right)=\ln\left(8\right)$  

• STEP 3: $3x=\ln\left(8\right)$  

• STEP 4: $x=\ln\left(\frac{8}{3}\right)$  

Solve for x. 

 $9^x=87$  

• 1.9395

• 4.4659

• 2.0325

• No solution

Tags

CCSS.HSF.LE.A.4

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Tags

CCSS.HSF.LE.A.4

Solve for x.

e^x-10 + 9 = 51

• 13.7

• -13.7

• No Solution

• -6.26

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the equation for x.

• 22.198
• e
• 1.131
• 21.66

Tags

CCSS.HSF.BF.B.5

Solve

• 8

• -8

• 1/8

• -1/8

Tags

CCSS.HSF.BF.B.5