1+ 5x + 6x² factorise the following quadratic trinomial by splitting the middle term
write each step
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Step-by-step explanation:
Example: Find the factors of 6x2 - 13x + 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.
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