Give possible expressions for the length and breadth of the rectangle whose area is $3 x^{2} - 8 x + 5$ .

Open in App

Solution

Given area of the rectangle is $3 x^{2} - 8 x + 5$
$⟹ 3 x^{2} - 8 x + 5 = 3 x^{2} - 3 x - 5 x + 5 = 3 x (x - 1) - 5 (x - 1) = (3 x - 5) (x - 1)$
Area $=$ length $\times$ breadth
The possible expressions of length and breadth is $3 x - 5, x - 1$

Suggest Corrections

Similar questions

Give possible expressions for the length and the breadth of the rectangle whose area is $12 x^{2} - 35 x + 25$

4 a^{2} + 4 a - 3

25 a^{2} - 35 a + 12

24 x^{2} - 15 x

2 x^{2} + 9 x - 5

25 a^{2} - 35 a + 12

Join BYJU'S Learning Program