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What value of n in the expression below would make it a perfect square trinomial? x²-14x + n A B n = 49 n = - 49 C n = 7 D n = -7

What value of n in the expression below would make it a perfect square trinomial? x²-14x + n A B n = 49 n = - 49 C n = 7 D n = -7

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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what value of n in the expression below would make it a perfect square trinomial? x^2 - 14x + n

**Question:** What value of \( n \) in the expression below would make it a perfect square trinomial? \[ x^2 - 14x + n \] **Options:** - A. \( n = 49 \) - B. \( n = -49 \) - C. \( n = 7 \) - D. \( n = -7 \) **Explanation:** To complete the square and make the expression a perfect square trinomial, take half of the coefficient of \( x \), square it, and use that value for \( n \). The coefficient of \( x \) is \(-14\). Half of \(-14\) is \(-7\). Squaring \(-7\) gives \( 49 \). Therefore, the value of \( n \) that makes the expression a perfect square trinomial is \( n = 49 \). The correct answer is **A**.
Transcribed Image Text:**Question:** What value of \( n \) in the expression below would make it a perfect square trinomial? \[ x^2 - 14x + n \] **Options:** - A. \( n = 49 \) - B. \( n = -49 \) - C. \( n = 7 \) - D. \( n = -7 \) **Explanation:** To complete the square and make the expression a perfect square trinomial, take half of the coefficient of \( x \), square it, and use that value for \( n \). The coefficient of \( x \) is \(-14\). Half of \(-14\) is \(-7\). Squaring \(-7\) gives \( 49 \). Therefore, the value of \( n \) that makes the expression a perfect square trinomial is \( n = 49 \). The correct answer is **A**.
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