Question

Factor the trinomial below. 4x^2+23-6. which two binomials are factors of the trinomial

Answer 1

Answer: 4x-1 and x+6

Step-by-step explanation: a p e x

Answer 2

4x - 1 and x + 6 are the factors of given Trinomial

Explanation:

The given Trinomial is:

`4x^(2)+23x-6`

We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)

So, the above expression can be written as:

`4x^(2)+23x-6\\\\ =4x^(2)+24x-x-6\\\\\text{Taking out commons, we get}\\\\=4x(x+6)-1(x+6)\\\\ =(4x-1)(x+6)`

Therefore, 4x - 1 and x + 6 are the factors of given Trinomial