What are the possible expressions for the dimensions of the cuboid whose volume is $12 k x^{2} + 8 k x - 20 k ?$

k, (x + 1)

and

(3 x - 5)

units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 k, (x - 1)

and

(3 x + 5)

units

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

k, 4 (x - 1)

and

(2 y - 5)

units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 k, 4 (x + 1)

and

(3 x + 5)

units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $4 k, (x - 1)$ and $(3 x + 5)$ units
To find the possible dimensions of cuboid whose volume is $12 k x^{2} + 8 k x - 20 k$ , we factorize $12 k x^{2} + 8 k x - 20 k$
$= 4 k (3 x^{2} + 2 x - 5)$
$= 4 k (3 x^{2} + 5 x - 3 x - 5)$
$= 4 k [3 x (x - 1) + 5 (x - 1)]$
$= 4 k (x - 1) (3 x + 5)$
So, the possible dimensions are $4 k$ units, $(x - 1)$ units, $(3 x + 5)$ units

Suggest Corrections

Similar questions

x^{6} + 4 x^{5} + 3 x^{4} + 2 x^{3} + x + 1

w

(1, 2), (5, 5)

(k, 2)

15

k

The volume of a cuboid is x³ – x² - 2x cubic units. If x=5 what are the dimensions?

Join BYJU'S Learning Program