TEST: Unit 3 (Polynomial & Rational Functions)

List the zeros for the function: $f\left(x\right)=x\left(x+6\right)\left(x-5\right)$  

• x = -4, x = 3, x = -2

• x = -4, x = 3, x = 2

• x = -4, x = -3, x = 2

• x = 4, x = 3, x = 2

Tags

CCSS.HSF-IF.C.7C

Use the graph of f(x) to determine the real solutions of the polynomial function.

• -10

• 2, 5

• 0, 7

• no real solution

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function $f\left(x\right)\ =\ 2x^3+5x^2+6x+15$  

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find the zeros of the polynomial:  $p\left(x\right)\ =25x^2-100$  

• x=0, 5, -5

• x=5, -5

• x=0, 25, -25

• x= 5/2, -5/2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial:
 $p\left(x\right)=-8x^7+x^5-2x^4+.5x^2-12.5$  

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.2

Describe the end behavior of the function using infinity notation:
 $p\left(x\right)=4x^8-6x^7+3x^4-10$  

• x → ∞, y→ ∞ and

  x→ ∞, y→⁻∞

• x → ∞, y→ ∞ and

  x→⁻∞, y→∞

• None of these

• x →∞,y→⁻∞ and

  x→∞, y→⁻∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write a possible equation in factored form for the polynomial shown in the graph.

• f(x) = (x − 1)²(x + 2)(x + 4)³

• f(x) = (x + 1)(x − 2)(x − 4)

• f(x) = (x + 1)²(x − 2)(x − 4)³

• f(x) = (x + 1)(x − 2)(x − 4)³

Tags

CCSS.HSA.APR.B.3

Simplify the function, and list the x-values that make the rational function undefined:
 $f\left(x\right)=\frac{x^2-22x+121}{x^2-121}$  

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

Consider the function  $p\left(y\right)=5y^{37}-4y-1$  
Is  $-1$   a zero of  $p\left(y\right)$  ? 

• yes

• no

Tags

CCSS.HSA.APR.B.2

Graph the rational function, including the following details: 1.) Vertical Asymptote, 2.) Horizontal asympotote; 3.) x-intercept; 4.) y-intercept; 5.) Domain & Range; 6.) Holes, if any.  $y=\frac{\ x^2-4}{x^2-5x+6}$  

• x=2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSF-IF.C.7D