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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.

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 p class=

Respuesta :

Given:

The length of the rectangle is,

[tex]2x^3-5x^2+8[/tex]

The width of the rectangle is,

[tex]x+3[/tex]

To find:

The number of terms in the area of the rectangle.

Explanation:

The area of the rectangle is

[tex]A=l\times w[/tex]

Substituting the given values we get,

[tex]\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}[/tex]

Therefore, the polynomial has 5 terms.

Final answer:

The polynomial has 5 terms.

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