madiv33
madiv33 madiv33
  • 04-03-2020
  • Mathematics
contestada

Write the quadratic equation whose roots are −2 and 4, and whose leading coefficient is 5.

Respuesta :

saakazplayz
saakazplayz saakazplayz
  • 04-03-2020

Answer:

10x2 + 30x - 40

Step-by-step explanation:

If the two roots are -2 and 4 then the factors shall be;

5(x+2)(x-4)

5 is the leading coefficient.

FOIL:

f(x) = 5(x2+4x+2x-8) =

f(x) = 5(x2+6x-8) =

f(x) = 10x2 + 30x - 40

Answer Link
Chelboy
Chelboy Chelboy
  • 04-03-2020

Answer:5x^2-10x-40=0

Step-by-step explanation:

x=-2 or x=4

x+2=0 or x-4=0

(x+2)(x-4)=0

x^2-4x+2x-8=0

x^2-2x-8=0

Multiply the equation by 5

5x^2-10x-40=0

Answer Link

Otras preguntas

Signs of Roman decline were manifested by agricultural and economic prosperity which undermined the values of Rome. the weakening of Rome's army which was force
does 20 hundredths equal 2 thousandths
describe why the bureaucratic personality can be dangerous.
write the ratio as a fraction in simplest form. 16ft to 6yd
9 to the x-5 power=27
Select the product of (7x - 2)(7x + 7).
Which word in the sentence is the appositive? My older sister Maria is learning how to drive a car. A. sister B. learning C. Maria D. car
How many $0.21 pencils can be purchased for $7.00? Show your work.
Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32,000,000, about how many people live in the United S
What unions were open to African Americans in the 1920s?