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Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
I = 0
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Answer:

  • See below

Step-by-step explanation:

The quadratic equation in factored form:

  • a(x - α)(x - β), where a- leading coefficient, α and β - roots

We have:

  • a = 3, α = 1, β = -2

Substitute them to get:

  • 3(x - 1)(x + 2)

Converting this into standard form:

  • 3(x - 1)(x + 2) =
  • 3(x² + x - 2) =
  • 3x² + 3x - 6