Question

${11x}^{2} - 968x + 13296 = 0.$
Factorise by spliting middle term.​

Answer 1

Step-by-step explanation:

+ 6

6x2 - 13 x + 6 ----->(1)

a.c = Product of 6 and 6 = 36

Factors of 36 = 2,18

= 3,12

= 4,9

Only the factors 4 and 9 gives 13-->(4 + 9)

For -13 , both the factors have negative sign. – 4 – 9 = - 13

Equation (1) ⇒ 6x 2 - 4x – 9x + 6

⇒2x ( 3x – 2 ) – 3 ( 3x – 2 )

⇒(3x – 2 ) ( 2x – 3) are the factors