Question

give possible expression for the length and breadth of the rectangle whose area 6 {x}^2 + 17x + 5

Answer 1

HEYA MATE!!

HERE'S YOUR ANSWER :


$6 {x}^{2} + 17x + 5 \\ = 6 {x}^{2} + 15x + 2x + 5 \\ = 3x(2x + 5) + 1(2x + 5) \\ = (2x + 5)(3x + 1)$

Hence, there are two possibilities

Case 1 :
Length = 2x + 5
Breadth = 3x + 1

Case 2 :
Length = 3x + 1
Breadth = 2x + 5

Hope it helps ....
Mark me as brainliest if it's correct ^_^