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Explain why the polynomial 144x2 − 200x + 81 is not a perfect square.

Sagot :

Answer: It's not

Step-by-step explanation:

A perfect square is always [tex](x+y)^{2}[/tex], where [tex]x^{2} +2xy+y^{2}[/tex].

Knowing this, we can square root 144x to get 12x. Square rooting 81 gets us 9. Unfortunately, if we multiply 12 and 9 together, then double it, we get 216, which is definitely not 200.

Therefore, the polynomial is not a perfect square.