Factor y^2-5y+6

Problem

y2−5*y+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*y2+b*y+c where a=1 b=−5 and c=6

2. Find two numbers that multiply to the constant term c=6 and add to the linear coefficient b=−5

3. Determine the pair of numbers, which are −2 and −3 since (−2)×(−3)=6 and (−2)+(−3)=−5

4. Write the expression as a product of two binomials using these numbers.

Final Answer

y2−5*y+6=(y−2)*(y−3)

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