Complex Roots

Are the roots of the function f(x)=3x²+3x+3 real or imaginary? (hint: graph it)

• Real Roots
• Imaginary Roots
• Impossible to tell
• Both

Tags

CCSS.HSA.REI.B.4

 $Write\ \frac{7-3i}{5-2i}$  as a single complex number.

•  $\frac{7}{5}+\frac{3}{2}i$  

•  $\frac{41}{29}-\frac{1}{29}i$  

•  $1-\frac{1}{29}i$  

•  $\frac{41}{29}-i$  

Which of the following would be a root with 3i?

• 3i²

• -3i

• 3i

• -3i²

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

If a+bi is a root of a polynomial, then _______ is also a root.

• i²

• a-bi

• a+bi

• -i²

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.8

CCSS.HSN.CN.C.9

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root. 

• -2-5i
• -2+5i
• 2+5i
• 5i

Tags

CCSS.HSN.CN.A.3

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients that has the given zeros.

5, -2i

• x³-5x²+4x-20

• x³-5x²+4x-23

• x³-5x²+4x-19

• x³-10x²+4x-20

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root. 

• 7i
• -7i+1
• 1-7i
• 1+7i

Tags

CCSS.HSN.CN.A.3

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9