multiplicity and possible real roots of polynomials

Factor and state the zeros

• A
• B
• C
• D

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5
• -9, 1 (multiplicity of 3), -5
• ± 3i , 1 (multiplicity of 3), -5∕2
• ± 3i, 1, -5

Tags

CCSS.HSF-IF.C.7C

What are the zeros of the graph?

• -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.2

CCSS.HSA.APR.B.3

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Tags

CCSS.HSF-IF.C.7C

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

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)

What does multiplicity mean in terms of the roots of an equations?

• To clone a polynomial
• How many times a particular number is a zero for a given polynomial.
• how many times a polynomial function crosses the x-axis
• how many end behaviors a polynomial has

Tags

CCSS.HSF-IF.C.7C

List the potential real zeros of:
f(x) = 5x³ - x² + 3

• ±1/5, ±3/5, ±1, ±3
• ±1/3, ±5/3, ±1, ±5
• ±1/5, ±3/5, ±1, ±3, ±5
• ±1/5, ±1/3, ±1, ±3, ±5

What are the possible rational roots for the polynomial
x³+ 10x²- 35x + 22

• 1, 2, 11, 22
• 1, -1, 2, -2
• 1, -1, 2, -2, 11, -11, 22, -22
• 1, 2

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