janae13sabillon janae13sabillon
  • 04-08-2021
  • Mathematics
contestada

Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 04-08-2021

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

     = 2(x^2 -2x+4x-8)

     = 2(x^2 +2x-8)

     = 2x^2 +4x-16

Answer Link

Otras preguntas

I can’t seem to figure it out
A focus on science, universal truths, and objectivity was a characteristic of which period?a.premodernb.early modernc.modernd.postmodern
Plzz help me im giving 12 points
When creating a business plan, what should be the first thing you do? What order should the parts be created?
How long would it take a car traveling with a speed of 95 km/h to travel 250 km between Plainview and Cedar Crest? A. about 1.7 hours B. about 2.1 hours C. a
Which property was used to simplify the expression? 4(b+2)=4b+8 distributive property commutative property associative property inverse property
The veins that drain the kidney include all of those below except
which on of the following is an example of a carbohydrate that should be restricted if you’re trying to lose weight
What epidemic brought a wave of terror to postwar america?
What was the major issue of the newly formed republican party in 1854?