factorization of 6 X square + 11 x minus 10
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(3x - 2)(2x + 5)
Step-by-step explanation:
( Middle term splitting )
⇒ 6x² + 11x - 10
⇒ 6x² + 15x - 4x - 10
⇒ 3x(2x +5) -2(2x+5)
⇒(3x - 2)(2x + 5)
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What we have done ?
At first,
we have to divide the 11x in such a way that the both operations i.e subtract/addition and the multiplication be suitable.
The essence of saying is that,
subtraction should be 11x.
and product of the parts should be 60x².
( here, 15x - 4x = 11x
and 15x × 4x = 60x²)
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