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

Joe and Angie are studying how listening to music affects grades. Joe listened to music while he studied while Angie studied in silence. After two weeks, they t
A company's interest expense is $9,000. Its income before interest expense and income taxes is $38,250. Its net income is $11,850. The company's times interest
Hey did the rays of trade unions begin to change the way people worked?
Dinosaurs existed about 250 million years ago to 65 million years ago. This era is broken up into three periods: the Triassic, Jurassic and Cretaceous. The Tria
In the coordinate plane, what is the length of the line segment that connects points at (0,-1) and (-7, -2)? Enter your answer to the nearest hundredth.
(a) Suppose a car is traveling north on "a" street and turns left onto Main Street. Which angle is this (angle number from picture)? What is the measure of the
why wouldnt there be any fresh water if water couldnt evaporate
Find the area of the ring-the shaded region
i need an equation for this too problem please :)
Which scatterplot has a negative r value? There are 3 graphs