A volume of a cuboid is given by V = x^3 - 6x^2 + 11x - 6 cubic units, and one dimension is (x - 1). The cuboid factorises into three linear dimensions. What is the SHORTEST factor written in (x - constant) form (smallest constant)?

Question

Accepted Answer

(x - 1). x^3 - 6x^2 + 11x - 6 = (x - 1)(x - 2)(x - 3). The factor with the smallest constant is (x - 1).

A volume of a cuboid is given by $V = x^{3} - 6 x^{2} + 11 x - 6$ cubic units, and one dimension is $(x - 1)$ .
The cuboid factorises into three linear dimensions.
What is the SHORTEST factor written in $(x$ - constant) form (smallest constant)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

A volume of a cuboid is given by V=x3−6x2+11x−6 cubic units, and one dimension is (x−1).The cuboid factorises into three linear dimensions.What is the SHORTEST factor written in (x - constant) form (smallest constant)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

A volume of a cuboid is given by $V = x^{3} - 6 x^{2} + 11 x - 6$ cubic units, and one dimension is $(x - 1)$ .
The cuboid factorises into three linear dimensions.
What is the SHORTEST factor written in $(x$ - constant) form (smallest constant)?