QQuestionMathematics
QuestionMathematics
"Find the value of c that makes the expression a perfect square trinomial.
x² + 4x + c
Responses
A 22
B 44
C 88
D 16"
5 months agoReport content
Answer
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Step 1: Identify the form of the perfect square trinomial.
To make this a perfect square trinomial, we need to find a value of $c$ such that there exists an $a$ and $b$ where the equation holds true.
Step 2: Compare the given expression with the perfect square trinomial formula.
By comparing the given expression $x^2 + 4x + c$ with the perfect square trinomial formula $(a+b)^2 = a^2 + 2ab + b^2$, we can see that $a = x$ and $2ab = 4x$.
Final Answer
The value of $c$ that makes the expression $x^2 + 4x + c$ a perfect square trinomial is $1$.
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