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

Which best explains the caste system? a. a Buddhist idea that each person has many lives until they reach spiritual perfection b. the belief that the essentia
Which type of compound dissociates?
According to philosophers such as Hobbes Locke and Rousseau why are people willing to enter into a social contact?
Why did Jem cry when there was cement in the tree hole
Archaeologists believe Vinland was located on what continent?
Can you solve this problem for me Y=3x+3b. For b
is melting butter exothermic or endothermic?
Round off then estimate 18.9*5.2
Write this decimal as a fraction or a mixed number 9.75=
Harold wound 5 meters of string around a spool. How many centimeters of string were on the spool? a. 0.05 cm b. 0.50 cm c. 50 cm d. 500 cm