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

PLEASE HELP!!!!!!! What did Reagan and Gorbachev sign providing for the destruction of 2,500 Soviet and American missiles in Europe? A) Intermediate-Range Nu
PLS ANSWER FAST what is the largest ethnic group in South AfricaWILL HIVE BRAINLIEST A. Zulu B. Tsonga C.Xhosa D.Khoekhoe
Which describes the rate at which cardiovascular disease develops? A. quickly, over a few days B. slowly, over decades C. quickly, over a few months D. slowly,
radius/radian/arc length relationships
Is the group of words a sentence or a sentence fragment? We parked our bicycles. A. sentence fragment B. sentence
What is the capital of North Carolina?
Although no one knows for certain how long people have lived in the americas, the earliest-known evidence points to human habitations from about:
What is an organelle?
What is an archetype?
Much like a cell, a virus is able to A. grow and develop B. change over time C. obtain and use energy D. respond to its environment