Question

split the middle term 4x2-115x+375

Answer 1

4x^2-115x+375
4x^2-100x-15x+375
4x(x-25)-15(x-25)
(4x-15) (x-25)
therefore x= 15/4 and 25

Answer 2

The middle term 4x^2-115x+375 into x(4x-115) + 60x

To split the middle term of 4x^2-115x+375, we can factor out the greatest common factor from the first and last term, which is x.

Then we can add and subtract a value that will give us the middle term when multiplied.

4x^2 - 115x + 375

= x(4x - 115) + 375

= x(4x-115) + 3x(125-25)

= x(4x-115) + 3x(5^2-5)

= x(4x-115) + 3x(25-5)

= x(4x-115) + 3x(20)

= x(4x-115) + 60x

So we have split the middle term 4x^2-115x+375 into x(4x-115) + 60x

We can see now that 4x^2-115x+375 is a product of (4x-115) and x, and 60x

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