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 me with this its math!!
Please give me the correct answer ​
Explain how concentration can affect the rate of a chemical reaction. Give an example.
Suppose m is the line with equation x=-5, line n is the equation y=1
The map shows Europe in 1871. Map of Europe in 1871. Existing empires shown are: United Kingdom, France, German Empire, Russian Empire, Austria-Hungary, Kingdom
If you were an innkeeper, what would do for work?
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for ever
Calculate the federal income taxes. In 1980, the federal income tax was 14 percent on incomes between $2,300 and $3,400 per year, 16 percent on incomes between
b. Some other person's sales tax is $1.61. How much was their subtotal?
What did children contribute to American history