Polynomials & Rational Functions

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

• solution

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• 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 to f(x)=0.

• -10

• 2, 5

• 0, 7

• no real solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use the graph of f(x) to find the real solutions of f(x)=0.

• 0, 5

• -2

• 0, -4

• no real solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The degree of the polynomial determines the max number of roots.

• True

• False

Tags

CCSS.HSN.CN.C.9

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

What is the factored form of

x³ + 7x² - 2x -14 ?

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Solve the polynomial: 2x² -50=0

• x=0, 5, -5
• x=5, -5
• x=0, 25, -25
• x= 5/2, -5/2

Tags

CCSS.8.EE.A.2

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A