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melomori [17]
3 years ago
14

The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us

4x^2-6x-6x+9

which of course simplifies to

4x^2-12x+9

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ANSWER

Vertex form:

y = ( {x + 4)}^{2} - 11

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