Factor b^2-6b+8

Problem

b2−6*b+8

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−6 and c=8

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

3. Determine the pair of numbers, which are −2 and −4 since (−2)×(−4)=8 and (−2)+(−4)=−6

4. Write the expression in factored form (b+p)*(b+q) using the numbers found.

Final Answer

b2−6*b+8=(b−2)*(b−4)

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