9
QuizMultiple Choice

Completing the Square — Quiz

Question 9 • Algebra I

What value for c will make the expression a perfect square trinomial? x squared minus 7 x plus c

Answer
A
negative 7 halves
B
negative 49 fourths
C
7 halves
D
49 fourths

Explanation

For x² − 7x + c to be a perfect square trinomial, take half the coefficient of x and square it: (−7 ÷ 2)² = 49/4. Thus c must be 49/4, making the expression (x − 7/2)²; the correct choice is 49 fourths.

AI-written and checked against the verified answer.

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