Question

The length of a rectangle is represented by the polynomial 2x3 5x7 + 8 and the width is representedby the polynomial Complete the following statements about the polynomial that represents thearea of the rectangle.The polynomial hasSelect a ValueImSelect a Value2 terms.4 terms.5 terms.

Answer 1

Given:

The length of the rectangle is,

`2x^3-5x^2+8`

The width of the rectangle is,

`x+3`

To find:

The number of terms in the area of the rectangle.

Step-by-step explanation:

The area of the rectangle is

`A=l* w`

Substituting the given values we get,

`\begin{gathered} A=(2x^3-5x^2+8)(x+3) \\ =2x^4+6x^3-5x^3-15x^2+8x+24 \\ =2x^4+x^3-15x^2+8x+24 \end{gathered}`

Therefore, the polynomial has 5 terms.

Final answer:

The polynomial has 5 terms.