2.5 Fundamental Theorem of Algebra

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

What is the degree?

• Odd
• Even

Tags

CCSS.HSF.BF.B.3

Find the DEGREE:

4x³ - 5x² + 2x - 1

• 1

• 2

• 3

• 4

Find the DEGREE:

f(x) = (x - 2)³(x + 1)

• 1

• 2

• 3

• 4

Which function has this end behavior?

• -x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree
• negative coefficient, odd degree
• negative degree, odd coefficient
• negative degree, even coefficient

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

Use the Fundamental Theorem of Algebra to determine the total number of solutions.

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

Use the Rational Root Theorem to determine the list of possible rational roots.

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

Find the zeros of the polynomial.

f(x) = (x - 5)(2x + 3)(7x - 4)(x + 6)

• x = 5, (2/3), 6, (7/4)

• x= -5, (3/2), (-4/7), 6

• x= 5, (-3/2), (4/7), -6

• x= 6, 5, -2/3, -4/7

Tags

CCSS.HSF-IF.C.7C