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	Inequalities in one Variable
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	Factoring a Sum or Difference of Two Cubes
	Solving Nonlinear Equations by Substitution
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	Plotting Points in the Coordinate Plane
	The Product of the Roots of a Quadratic
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	Solving Quadratic Equations by Completing the Square

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The Product of the Roots of a Quadratic

To find the product of the roots of a quadratic in the form

ax² + bx + c = 0, use the formula

product of roots

If the ax² term is on the opposite side of the constant term, use a negative ( - c/a ).

Example:

Find the product of the roots of 4x² - 3x - 12 = 0. Using the formula, a = 4 and c = - 12, so the product is .

Proof:

Let the quadratic be ax² + bx + c = 0 with roots r and s . Then from the quadratic formula,

So,