Complex Conjugates and Zeros

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i

• -3-5i

• -5i

• 3-5i

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

• 7i

• -7i+1

• 1-7i

• 1+7i

All imaginary roots comes in pairs.

• True

• False

Name the Theorem
If P(x) is a polynomial with rational coefficients, then the irrational roots of P(x) = 0 occur in conjugate pairs.

• Binomial Theorem

• Factor Theorem

• Conjugate Root Theorem

• Rational Root Theorem

Refer to the above image, what is the conjugate of the denominator?

• 8 + 6i

• 6 + 8i

• 6 - 8i

• -6 +8i

What is the complex conjugate of  4-3i?

•   1/(4-3i)

• 1/(4+3i)

•   -4 + 3i

•   4 + 3i

What is the complex conjugate of 3 + √3?

• 3 - √3

• -3 - √3

• 3 + √3

• -3 + √3

For this quadratic function, the discriminant must be ___________ and the functions zeros are ___________.

• positive; 2 rational zeros

• zero; 2 complex conjugates

• negative; 2 complex conjugates

• negative; 2 irrational roots

A parabola is turning upward, its shape is narrow, and its zeros/roots are -5 and 8. Choose the function that best fits this description.

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)