Determine the Constant That Should Be Added to the Binomial $x ^ { 2 } - 6 x - 7 = 0$

question 84

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $x ^ { 2 } - 6 x - 7 = 0$

• A) \(\{ - 1,7 \}\)
• B) \(\{ - 7,1 \}\)
• C) \(\{ - \sqrt { 7 } , \sqrt { 7 } \}\)
• D) \(\{ - 1 , - 6 \}\)

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Definitions:

Trinomial

An expression containing three terms.

Monomial

A mathematical expression consisting of a single term, which may include numbers, variables, and exponents.

Evaluate

The process of calculating the numerical value of an expression.

Numerical Coefficient

A number that multiplies a variable in an algebraic expression, giving the term its numerical value.