Determine the constant that should be added to the binomial so that it becomes a

Question

Determine the constant that should be added to the binomial so that it becomes a perfect square binomial. Then write and factor the binomial x^2 + 7x What is the constant that should be added to the binomial so that it becomes a perfect square binomial? (Type an integer or a simplified fraction.) Write the binomial. (Do not factor. Use integers or fractions for any numbers in the expression.) Factor the result. (Type your answer in factored form. Use integers or fractions for any numbers in the expression.)

Explanation / Answer

Constant that should be added is 49/4

The trinomial is X^2 +7X + 49/4

Trinomial in factor form is (X+7/2)^2

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