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Ludmilka [50]
3 years ago
13

Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>The quadratic equation in factored form:</u>

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

<u>We have:</u>

  • a = 3, α = 1, β = -2

<u>Substitute them to get:</u>

  • 3(x - 1)(x + 2)

<u>Converting this into standard form:</u>

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