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(1) What does the Principle of Zero Products state?How is it used to solve a quadratic equation? (2)Suppose that r 1 and r 2 are
(1)What does thePrinciple of Zero Productsstate?How is it used to solve a quadratic equation?
(2)Suppose thatr1andr2are the roots of the quadratic equationax2+bx+c=0.Note that:
(x r1)(x r2)=x2(r1+ r2)x+r1r2.
Explain how to use this result to check the solutions of a quadratic equation of the formx2+ bx+c. Then use the result to check that 3+2iand 32iare solutions of the equationx2+6x+13=0.
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