The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.9𝑥2−30𝑥+259x 2 −30x+25A.TrueB.False
Question
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.9𝑥2−30𝑥+259x 2 −30x+25A.TrueB.False
Solution
B. False
The given polynomial is 9x^2 - 30x + 25.
A perfect square trinomial of the form A^2 - 2AB + B^2 is a trinomial that can be factored into (A-B)^2.
Let's try to factor the given polynomial:
(3x)^2 - 23x5 + (5)^2 = (3x - 5)^2
So, the given polynomial is a perfect square trinomial of the form A^2 - 2AB + B^2, but it is of the form (A-B)^2, not A^2 - 2AB + B^2.
Therefore, the statement is false.
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