Question

a contractor uses the expression
$4 {x}^{2} + 11x + 6$
to determine the amount of wire to order when wiring a house.If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x+2). Find the number of outlets in terms of 'x'.[Hint: factorise ]
$4 {x}^{2} + 11x + 6$
​

Answer 1

Solution :

Now, 4x² + 11x + 6

= 4x² + (3 + 8) x + 6

= 4x² + 3x + 8x + 6

= x (4x + 3) + 2 (4x + 3)

= (4x + 3) (x + 2)

∴ the number of outlets is (4x + 3).

Answer 2

$\huge\underline\mathfrak\green{Solution}$

4x² + 11x + 6

4x² + 8x + 3x + 6

4x ( x + 2 ) + 3 ( x + 2 )

( 4x + 3 ) ( x + 2 )

Thanks!! ✨✨❤