Problem 5 of 7
Solve x^2-3x+2=0 by factoring the monic trinomial.
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factor and use zero-product property.
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Quadratic must be monic and factorable over integers.
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Solution
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1. Find two numbers whose product is c and sum is b.
2. Write the trinomial as two linear factors.
3. Use the zero-product property to solve each factor.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Factor pairs that multiply correctly but do not add to the linear coefficient.