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

end of cold war words to know
Find the value of x in the triangle
What does it mean to reduce? Give examples.
thanks to anyone who helps!
is it japanese american? idk im right someone help
is a feeling or belief that one can rely on someone or something. O Reality O Benevolence O Confidence O Inspiration
Which correlation coefficient represents no relationship between x and y? * r = -0.02 r = 0.41 r = -0.78 r = 0.96
What period lasted from the first through fifth century
Gallerani Corporation has received a request for a special order of 5,000 units of product A90 for $28.50 each. Product A90's unit product cost is $27.85, deter
Evaluate the expression 3(5-3)^3