How to do splitting method

If we have an expression

x^2 - 11x -152

Step 1:

Roughly multiply the first and last term

Step 2:

Now think of two numbers that give us -11x when added and at the same time give us -152x^2 when multiplied

Note:

We got 152x^2 when we multiplied the first and last term.

Step 3:

Now write those two numbers.Make sure you use the right signs.

x^2 - 19x + 8x -152

Here when we add -19x and +8x we get -11x and when we multiply -9x and +8x we get -152x^2 which was the product of first and last terms.

Step 4:

Now take separately common terms from the pair of first two and last two terms.

From the first two terms we ll take x common and from the second two we ll take +8 common to make the inner terms of both pairs same

x(x-19) + 8(x-19)

Step 5:

Now as the terms in the bracket are same so right them once and another bracket to pair up x+8

So the final answer will be

(x+8)(x-19)

And one thing when we multiply the first and last term we dont write it its just to guess the numbers.

Step-by-step explanation:

answer: the common difference is -0.10

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