Finding Zeros of Polynomials Given One

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

This equation has no roots.

• This equation has 2 roots.

• This equation has 4 roots.

• This equation has 5 roots.

• This equation has no roots.

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

• 2

• 1

• 0

• 4

Tags

CCSS.HSA-REI.B.4B

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

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

Identify the zeros of f(x) = x²-36 .

• 4, -9

• 6, -6

• 18, -18

• 36, -36

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the zeros of f(x) = m²-9m+20?

• 4, 5

• -4, -5

• 2, 10

• -2, -10

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

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Tags

CCSS.HSN.CN.C.9