Question

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.
Which statement describes the relationship between c and the number of rectangular models representing a factorable polynomial x2 + bx + c?

If c has n integer factors, then there are n rectangular models that represent the polynomial.
If c is a perfect square, then there is an even number of rectangular models that represent the polynomial.
If c is a prime number, then there is only one rectangular model that represents the polynomial.
If c is an odd number, then there is an odd number of rectangular models that represent the polynomial.

Answer 1

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.

brainly.com/question/17822016

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