SOLUTION: Write the quadratic equation whose roots are −4 and 6, and whose leading coefficient is 2. (Use the letter x to represent the variable.)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Write the quadratic equation whose roots are −4 and 6, and whose leading coefficient is 2. (Use the letter x to represent the variable.)       Log On


   

Question 1140471: Write the quadratic equation whose roots are
−4 and 6, 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!

the quadratic equation whose roots are
x%5B1%5D=-4 and x%5B2%5D=6, and whose leading coefficient is a=2

f%28x%29=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29.....plug in given values
f%28x%29=2%28x-%28-4%29%29%28x-6%29
f%28x%29=2%28x%2B4%29%28x-6%29
f%28x%29=2%28x%5E2-6x%2B4x-24%29
f%28x%29=2%28x%5E2-2x-24%29
f%28x%29=2x%5E2-4x-48%29


+graph%28+600%2C+600%2C+-10%2C+10%2C+-50%2C+10%2C2x%5E2-4x-48%29+