If c is a perfect square, then there is an even number of rectangular models that represent the polynomial. Then the correct option is B.
What is a polynomial?
Consider the polynomial x² + bx + c, where b and c are positive integers. If the polynomial is factorable, it can be modeled with a rectangle with a distinct length and width.
The table shows the relationship between some values of c and the number of rectangular models.
Then the relationship between c and the number of rectangular models representing a factorable polynomial x² + bx + c will be
If c is a perfect square, then there is an even number of rectangular models that represent the polynomial.
Then the correct option is B.
More about the polynomial link is given below.
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