Question

Factor completely x^2+5x-36

Answer 1

`[x - 4][x + 9]`

Explanation:

Since your leading coefficient IS 1, all you have to is find two numbers that when summed up to 5, they also multiply up to 36, which are 9 and 4. Now, we have to figure out which quantity gets which sign because 36 is negative and 5x is positive. We only need to focus on 5x because no matter what happens, we will still have -36, so since we have a 5x, we have -4x and 9x, meaning we have -4 and 9 in the factorisation.

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Answer 2

The factors of
`x^(2) + 5x - 36` is (x+9) and (x-4)

Solution:

From question, given that
`x^(2) + 5x - 36`

To factorise the above equation, follow the below steps:

`x^(2) + 5x - 36`

5x can be rewritten as 9x – 4x. hence the above equation becomes,

`x^(2) + 5x - 36 = x^(2) + 9x - 4x -36`

Take “x” as common from first two terms and “4” as common from next two terms. Thus the above equation becomes,

= x(x+9)-4(x+9)

Since x+9 is common in both the terms, the above equation becomes,

= (x+9) (x-4)

Thus factors of
`x^(2) + 5x - 36` are (x+9) and (x-4)