Factor y^2-6y+8

Problem

y2−6*y+8

Solution

1. Identify the coefficients of the quadratic expression in the form a*y2+b*y+c where a=1 b=−6 and c=8

2. Find two numbers that multiply to the constant term c=8 and add up to the linear coefficient b=−6

3. Determine the factors by testing pairs of numbers that multiply to 8 (−2)×(−4)=8 and (−2)+(−4)=−6

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

Final Answer

y2−6*y+8=(y−2)*(y−4)

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