Question

give possible expression for the length and breath pf rectangle whose area is 6x^2+17x+5. i want
it quick yeah

Answer 1

Area of rectangle = 6x^2 + 17x + 5
=> 6x^2 + 15x + 2x + 5
=> 3x ( 2x + 5 ) + 1 ( 2x + 5)
=> (3x + 1 ) ( 2x + 5)

Possible length = 3x +1
Possible breadth = 2x + 5

Answer 2

Area of rectangle= length × breadth
=
$6 {x}^{2} + 17x + 5 \\ = 6 {x}^{2} + 15x + 2x + 5 \\ = 3x(2x + 5) + 1(2x + 5) \\ = (3x + 1)(2x + 5)$
so 3x+1 can be length or breadth
or 2x+5 can be length or breadth