Question

How do I factorize this equation,
4к²+6к - 1
​

Answer 1

Not factorable.

Explanation:

4k² + 6k - 1

We can do it by the guess method.

We need two factors of 4 and two factors of -1.

4 factors into 4 and 1, 2 and 2.

-1 factors into -1 and 1.

Now we fit the factors until we find the answer.

Try: (2k - 1)(2k + 1)

Multiply it out: 4k²- 1 This is not it.

Try: (4k + 1)(k - 1)

Multiply it out: 4k² - 3k - 1 This does not work.

Try: (4k - 1)(k + 1)

Multiply it out: 4k² + 3k - 1 This does not work.

All combinations of factorizations of the coefficients were tried and none worked.

Answer: Not factorable.