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Relationship of roots and coefficients of a quadratic

The roots in polynomials are closely linked to the coefficients of that polynomial.

Sum of roots

Section titled “Sum of roots”

If and are roots of , then .

This means that the sum of roots of a quadratic is equal to .

Product of roots

Section titled “Product of roots”

If and are roots of , then (positive).

Evaluating other expressions

Section titled “Evaluating other expressions”

The equation has roots and . Evaluate

Section titled “The equation has roots and . Evaluate ”