Algebra 2 H Rational Zero Theorem and Remainder Theorem and Fundamental Theorem of Algebra

The degree of the polynomial determines the number of roots.

• True
• False

-3x²+x+4=0
How many roots does this equation have?

• 2
• 1
• 0
• 4

Tags

CCSS.HSA-REI.B.4B

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

Find all the real zeros of the function

y = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Find all zeroes given a factor of (x+3).

f(x) = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

What is the total number of roots for the following equation?
y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

• 4
• 5
• 6
• 7

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

• A
• B
• C
• D

Tags

CCSS.HSN.CN.C.9

Find all the real zeros of the function

f(x) = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

What are the zeros of f(x) = x²+9x+14

• 2, 7

• -2, -7

• 2, -7

• -2, 7

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A