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Write the quadratic equation whose roots are 2 and -5 , and whose leading coefficient is 3 .

User Alok
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Answer: 3x^2 + 9x - 30 = 0

Step-by-step explanation: Lets lay this out.

The quadratic equation with roots x1 and x2 and leading coefficient a is given by:

ax^2 - a(x1 + x2)x + a x1 x2 = 0

In this case, the roots are x1 = 2 and x2 = -5, and the leading coefficient is a = 3. Substituting these values, the equation becomes:

3x^2 - 3(2 - 5)x + 3(2)(-5) = 0

Simplifying further:

3x^2 + 9x - 30 = 0

So, the quadratic equation with roots 2 and -5, and leading coefficient 3, is 3x^2 + 9x - 30 = 0.

User Ahmed Younes
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