precal question

Question

Factor the polynomial completely.

Q(x) = x² − 4x + 5

Q(x) =

Find all its zeros. State the multiplicity of each zero. (Order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part.)

x	=			with multiplicity
x	=			with multiplicity

Answer 1

Hi Viviana

You have a parabola It does not cross or touch the x axis

you will get imaginary 2±√-4/2

where √-4 = 2i

For your table

x = 2 ±2i/2

x = 2 + i

x = 2 - i

y intercept is (0, 5)

You want to factor and find all the zeros for the Quadratic Equation below

y = x² - 4x + 5

The y intercept is easily found by setting x = 0 leaving

y = 5 so the y intercept is (0, 5)

You'll need to use the Quadratic Formula to factor it and find the x intercepts

x =( -b±(b² - 4ac)^1/2)/2a

Also written as

x = ( -b±√(b² - 4ac))/2a

To use it list your values for a, b, and c

a = 1

b = -4

c = 5

Just plug them in and be careful to keep track of the signs, remember that you have a fraction, and check it by graphing your parabola as well at Desmos.com

There are no x intercepts you will get imaginary 2±√-4/2

√-4 = 2i

I hope you find this useful