Degree and Multiplicity

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSF-IF.C.7C

If there is a turning point (bounce) on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSF-IF.C.7C

The degree of a polynomial determines...

• the maximum number of x-intercepts

• if the end behavior is up or down

• the y-intercept

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Tags

CCSS.HSF-IF.C.7C

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

Odd Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis (intersects)

• Turn on the x-axis (bounce)

What are the zeros of the graph? SELECT THE BEST ANSWER

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

Tags

CCSS.HSA.APR.B.3

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)
• 2 (Mult of 3), 7 (mult 1)
• 0, 2, 7
• 2 (mult of 2), 7 (mult of 3)

Tags

CCSS.HSF-IF.C.7C

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.