Answer:
[tex]2x^4+x^3-15x^2+8x+24[/tex]
Step-by-step explanation:
Length of Rectangle = [tex]2x^3-5x^2+8[/tex]
Breadth of Rectangle = [tex]x+3[/tex]
Formula of area of rectangle = [tex]Length \times Breadth[/tex]
= [tex](2x^3-5x^2+8)\times (x+3)[/tex]
= [tex]x(2x^3-5x^2+8)+3(2x^3-5x^2+8)[/tex]
= [tex]2x^4-5x^3+8x+6x^3-15x^2+24[/tex]
= [tex]2x^4+x^3-15x^2+8x+24[/tex]
Hence the polynomial that represents the area of the rectangle is [tex]2x^4+x^3-15x^2+8x+24[/tex].
