write polynomials given roots

A polynomial function with rational coefficients has the follow zeros: -1 + i and √5 . Find all additional zeros.

• 1 + i
• -√5 and 1 - i
• -√5 and -1 - i
• -1 - i

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.7

CCSS.HSN.CN.A.1

Given x=5, x =3/2, and x= 5/3...
which of the following is the correct factored form? 

• (x-5)(2x-3)(3x-5)
• (x+5)(2x+3)(3x-5)
• (x-5)(x-3/2)(x-5/3)
• (x-5)(3x-2)(5x-3)

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

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

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

Which solution has a multiplicity of 2? 

• -1
• 1
• 3
• none of them do

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Identify the zeros

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

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 is the degree of this function?

• 4
• 5
• 6
• 7