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12-28.

Solve the quadratic below twice: once by factoring and using the Zero Product Property and once by completing the square. Verify that the solutions match. Homework Help ✎

x2 + 14x + 33 = 0

Completing the square:

Add 16 to both sides of the equation. Solve for x.

Factoring and Zero Product Property:

Factor the quadratic, then find its roots from the factors.

x = −3 or −11