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Which of the following expressions can be factorised into two linear factors?

Answer and explanation

Correct answer: \(x^2+4x+4\)

\(x^2+4x+4=(x+2)^2=(x+2)(x+2)\), so it is a product of two linear factors. For option B, the discriminant is \(b^2-4ac=16-20=-4\), so it has no real linear factors. Exam tip: spot perfect-square trinomials.

Related tags

Quadratic ExpressionsFactorisationLinear FactorsPerfect Square TrinomialAlgebraic IdentitiesExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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