Question

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

Answer 1

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