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Which of the following expressions is a perfect-square trinomial for every real value of x?

Answer and explanation

Correct answer: \(x^2+6x+9\)

In \(x^2+6x+9\), the middle term is \(2\cdot x\cdot3=6x\) and the last term is \(3^2=9\), so it equals \((x+3)^2\). \(x^2+6x+8\) fails because its constant term is not 9. Exam tip: check \(a^2+2ab+b^2\).

Related tags

Algebraic IdentitiesPerfect Square TrinomialQuadratic ExpressionsClass 9 MathematicsPolynomialsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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