Question

Write the quadratic equation whose roots are −2 and 4, and whose leading coefficient is 1.

Answer 1

The quadratic equation with roots -2 and 4 and leading coefficient 1 is x^2 + 2x - 8 = 0

Step-by-step explanation:

The quadratic equation whose roots are -2 and 4, and whose leading coefficient is 1 can be written as:

x^2 - (sum of roots)x + product of roots = 0

Plugging in the values, we get:

x^2 - ((-2) + 4)x + (-2)(4) = 0

Simplifying further, we have:

x^2 + 2x - 8 = 0

Therefore, the quadratic equation is x^2 + 2x - 8 = 0.

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