Question

Factorise: 3/2 x^2​​​​​​​ -8x - 35/2

Answer 1

3/2x^2 -8x - 35/2 =0
$(3 {x}^{2} - 16x - 35 )\div 2$

3x^2 -16x -35 =0 ×2
3x^2 -16x -35 =0
3x^2 -21x +5x -35 =0
$3x(x - 7) + 5(x - 7) = 0$
$(x - 7)(3x + 5)$
therefore x = 7 and -5/3.
hope this helps you .

Answer 2

3/2x^2 -8x - 35/2 =0

(3 {x}^{2} - 16x - 35 )\div 2(3x

2

−16x−35)÷2

3x^2 -16x -35 =0 ×2

3x^2 -16x -35 =0

3x^2 -21x +5x -35 =0

3x(x - 7) + 5(x - 7) = 03x(x−7)+5(x−7)=0

(x - 7)(3x + 5)(x−7)(3x+5)

therefore x = 7 and -5/3.

hope this helps you .