Question

factorise by middle term splitting = 2x²-x-3
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given:

We have been given a quadratic polynomial 2x²-x-3.

Solution:

We need to factorise this polynomial using the method of splitting the middle term.

Here, we need two such numbers whose product is -6 and sum is -1.

Two such numbers are -3 and +2.

Now, substituting values in 2x²-x-3, we have

=> 2x² + 2x - 3x - 3

=> 2x( x + 1 ) -3( x + 1 )

=> ( x + 1 ) ( 2x - 3 )

Either ( x + 1 ) = 0 or ( 2x - 3 ) = 0

x + 1 = 0

=> x = -1

2x - 3 = 0

=> 2x = 3

=> x = 3/2

Either x = -1 or x = 3/2.