Question

(Factorize): x² + 2x - (Ans: (x + 6) (x - 4))​

Answer 1

x²+2x

x(x+2)

Explanation:

take x common and thats it either tou gave incomplete question or wrong ans

Answer 2

See below

Explanation:

This should be your expressions:
`\displaystyle{x^2+2x-24}`, this can be factored by applying in the form of:

`\displaystyle{x^2+(\alpha + \beta)x+\alpha \beta = (x+\alpha)(x+\beta)}`

This simply means you have to find two numbers that add up or subtract and obtain the middle term, and that two numbers must also satisfy the last terms as well. (Hence, two numbers adding up to middle term and multiply to last term.)

We can check by seeing into the factor of 24 which are:

• 1, 24
• 2, 12
• 3, 8
• 4, 6

These numbers have product of 24. Next, we find the middle term -- since the middle term is positive value. This means that the highest value is in positive.

From factors that we list, we can cancel off the followings:

• 1, 24 (This never makes 2 but rather 23)
• 2, 12 (This never makes 2 but rather 10)
• 3, 8 (This never makes 2 but rather 5)

Therefore, the only factors left are 4 and 6. These two also make 2 (6-4), so we will have
`\alpha` = 6 and
`\beta` = -4. Therefore:

`\displaystyle{x^2+(6-4)x+6(-4) = (x+6)(x+(-4))}\\\\\displaystyle{x^2+2x-24= (x+6)(x-4)}`

And there you have it, the factor of x² + 2x - 24