Asked by b
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?
x2 – 6x + 9
x2 – 2x + 4
x2 + 5x + 10
x2 + 4x + 16
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x^2 − 6x + 9
Reason: a perfect square trinomial has form x^2 + 2ax + a^2. Here 2a = −6 gives a = −3 and a^2 = 9, so x^2 − 6x + 9 = (x − 3)^2. The other options do not satisfy a^2 = constant and 2a = linear coefficient.
Reason: a perfect square trinomial has form x^2 + 2ax + a^2. Here 2a = −6 gives a = −3 and a^2 = 9, so x^2 − 6x + 9 = (x − 3)^2. The other options do not satisfy a^2 = constant and 2a = linear coefficient.
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