Complex Solutions

Including all real and imaginary solutions, how many solutions exist for thefunction

Tags

NC.M3.N-CN.9

Which statement is true about the zeros of a quadratic polynomial?

• The polynomial can have a maximum of 2 real zeros.

• There must be at least one complex zero for every real zero.

• If −5 and 4 are zeros, then the conjugates of −5 and 4 must also be zeros.

• If the polynomial has 3 zeros, it must have imaginary coefficients.

Tags

NC.M3.N-CN.9

Which statement is true about the polynomial?

• It has exactly 4 roots, including any repeated roots, that must be real numbers.

• It has exactly 8 roots, including any repeated roots, that must be real numbers.

• It has exactly 4 roots, including any repeated roots, that may be either real or complex numbers.

• It has exactly 8 roots, including any repeated roots, that may be either real or complex numbers.

Tags

NC.M3.N-CN.9

How many solutions, including all real and imaginary solutions, exist for the given polynomial equation?

Tags

NC.M3.N-CN.9

If the discriminant is negative, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• 2 Irrational Solutions

• 2 Complex Solutions

Solve using the quadratic formula...

9x² = 4 + 7x

• 
• 
• 
• No solution

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Simplify √-4

• 2i

• -2i

• 2

• 4i