SOLUTION: Write the quadratic equation whose roots are −4 and 1 , and whose leading coefficient is 2 . (Use the letter x to represent the variable.)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write the quadratic equation whose roots are −4 and 1 , and whose leading coefficient is 2 . (Use the letter x to represent the variable.)      Log On


   

Question 1077870: Write the quadratic equation whose roots are
−4
and
1
, and whose leading coefficient is
2
.
(Use the letter
x
to represent the variable.)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
roots are :
x%5B1%5D=-4 and x%5B2%5D=1
and, leading coefficient is a=2

y=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29
y=2%28x-%28-4%29%29%28x-1%29
y=2%28x%2B4%29%28x-1%29
y=2%28x%5E2-x%2B4x-4%29
y=2%28x%5E2%2B3x-4%29
y=2x%5E2%2B6x-8

+graph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+2x%5E2%2B6x-8%29+