Question

Factors of `x^2 + (a + 1/a)x + 1` are ______.

विकल्प

• `(x + a)(x + 1/a)`

• `(x + a)(x - 1/a)`

• `(x - a)(x + 1/a)`

• `(x - a)(x - 1/a)`

Answer 1

Factors of `x^2 + (a + 1/a)x + 1` are `underlinebb((x + a)(x + 1/a))`.

Explanation:

We are given the quadratic expression:

`x^2 + (a + 1/a)x + 1`

Let’s check if it factors as:

`(x + a)(x + 1/a)`

= `x^2 + (a + 1/a)x + a xx 1/a`

= `x^2 + (a + 1/a)x + 1`