Question

Which of the following represents the factorization of the trinomial below?x²-14x+48With these four as possible awnsers A. (x-6)(x-8)B. (x+4)(x-12)C. (x-4)(x-12)D. (x+6)(x-8)

Answer 1

Given:

`x^2-14x+48`

Factorizing by splitting the middle term using the product-sum;

`\begin{gathered} x^2-14x+48=x^2-6x-8x+48 \\ =x(x-6)-8(x-6) \\ =(x-6)(x-8) \end{gathered}`

Therefore, OPTION A is correct.