The length of a rectangle is represented by the polynomial 2x^3-5x^2+8 and the width is represented by the polynomial x+3. Complete the following statements about the polynomial that represents the area of the rectangle.
The polynomial has a degree of
-15
1
2
24
The polynomial that represents the area of the rectangle is found by multiplying the length by the width:
Area = (2x^3 - 5x^2 + 8)(x + 3)
Expanding this expression will give us the polynomial that represents the area of the rectangle. This polynomial will be of degree 4, because the highest degree term in the product of the two polynomials is x^3 multiplied by x which is x^4.
Therefore, the statement should be completed as follows:
The polynomial has a degree of 4.