1.

For the box to satisfy certain requirements, its length must be three meter greater than the width, and its height must be two meter less than the width. Which of the following polynomial represent the area of paper sheet used to make box ?

Answer»

`X^(2)-5x-6`
`6x^(2)+4x-12`
`x^(3) -6x^(2) -6x`
`6x^(2)+3x-4 `

Solution :`S(x)=2(LW+WH+HL)`
`=2[x(x+3) +(x+3)(x-2) +x(x-2)]`
`=2[x^(2) +3x+x^(2)+x-6+x^(2)-2x]`
`=2(3x^(2)+2x-6) =6x^(2) +4x-12`
THUS (b) is CORRECT OPTION.


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