Question

Which statement is true about the prime polynomial 2x2 + 3x + 3? It cannot be modeled with a rectangle. It can be modeled with a square. It cannot be modeled with all positive tiles. It can only be modeled with an odd number of tiles.

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which statement is true about the prime polynomial

$\sf{2 {x}^{2} + 3x + 3}$

• It cannot be modelled with a rectangle.

• It can be modelled with a square.

• It cannot be modelled with all positive tiles.

• It can only be modelled with an odd number of tiles.

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

PRIME POLYNOMIAL

Prime Polynomial is defined as as the polynomial with integer coefficients that cannot be factored into polynomials of lower degree

EVALUATION

Here the given polynomial is

$\sf{2 {x}^{2} + 3x + 3}$

Now the above polynomial cannot be factored into polynomials of lower degree

So the above polynomial cannot be modelled with a rectangle

FINAL ANSWER

The correct option is

It cannot be modelled with a rectangle

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