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Mathematics

Grade10

Easy

Question

The volume of a rectangular box is represented by x³ + 3x² + 2x. Find the possible dimensions of the box.

x, x+1, x+2
x+1, x+2, x+3
x, x+2, x-1
x+1, x+3, x+4

The correct answer is: x, x+1, x+2

Take out x from x³ + 3x² + 2x.
x (x² + 3x + 2)
Factorise x² + 3x + 2
Factors of 2 are 2 & 1
Sum of 2 + 1 = 3
(x + 2) (x + 1)
x³ + 3x² + 2x = x (x + 1) (x + 2)

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