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Write a quadratic equation in standard form that has roots of -12 and 2

User Massagran
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2 Answers

3 votes

Final answer:

To create a quadratic equation with roots of -12 and 2, one should start with the factored form (x + 12)(x - 2) = 0 and expand to achieve the standard form: x^2 + 10x - 24 = 0.

Step-by-step explanation:

To write a quadratic equation in standard form with roots of -12 and 2, we can use the fact that if p and q are roots of a quadratic equation, the equation can be expressed as ax^2 + bx + c = 0, where (x - p)(x - q) = 0.

Thus, for roots -12 and 2, the quadratic equation is:

(x + 12)(x - 2) = 0

Expanding this, we get:

x^2 - 2x + 12x - 24 = 0

Simplifying, we find the standard form:

x^2 + 10x - 24 = 0

User Sorenkrabbe
by
9.1k points
3 votes

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

User Vidura Mudalige
by
8.1k points

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