Zeros and Linear Factorization

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

• True

• False

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

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce back" at that zero
• The graph will "pass through" at that zero
• Zeros cannot have multiplicity of 4

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6
• f(x) = x⁴+3x²-3x+1
• f(x) = -x³+2x²-x-6
• f(x) = x⁴+x³+5x²-6

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

• 3

• 2

• 1

• 0

Describe the end behavior of the function.

• as x→ ∞, f(x) → ∞ as x → -∞, f(x) → -∞

• as x→ ∞, f(x) → -∞

  as x → -∞, f(x) → -∞

• as x→ ∞, f(x) → -∞

  as x → -∞, f(x) → ∞

• as x→ ∞, f(x) → ∞

  as x → -∞, f(x) → ∞

Name the interval(s) where the function is decreasing? Click all that apply.

• -∞ < x < -1

• -1 < x < 1

• -2 < x < 2

• 1 < x < ∞