Find the Perfect Square Trinomial x^2-6x

Problem

x2−6*x

Solution

1. Identify the coefficient of the linear term, which is the value b in the expression x2+b*x In this case, b=−6

2. Divide the coefficient b by 2 to find the value needed for the square.

(−6)/2=−3

3. Square the result of the division to find the constant term c that completes the square.

(−3)2=9

4. Add the constant term to the original expression to form a perfect square trinomial.

x2−6*x+9

5. Factor the resulting trinomial into the square of a binomial.

(x−3)2

Final Answer

x2−6*x+9=(x−3)2

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