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

20 POINTS! A circle is cut out of a piece of plywood that is 10 in. square. The scrap is thrown away What is the area of the circle. How many square inches are
explain how you know that 7/12 is greater than 1/3 but less than 2/3
In Australia, most cattle ranching is found in
is 3/10 equivalent to 9/30
mary has 12 marbles. 3/12 marbles. are yellow and 2/12 of the marbles are blue. The rest of the marbles are green. how many marbles are green??explain how you k
simplify 24/40 in simplest form
Describe how the parts of a cell are like a city or town. Identify what parts of a town are similar to cell organelles.
Which renewable resources could become a non renewable resource if used faster than earths ability to replenish its supply?
What happens to the Mississippi River water when it flows into the Gulf of Mexico?
Sara spent half of her allowance going to the movies. She washed the family car and earned 9 dollars. What is her weekly allowance if she ended with 16 dollars