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Question
Factors of `x^2 + (a + 1/a)x + 1` are ______.
Options
`(x + a)(x + 1/a)`
`(x + a)(x - 1/a)`
`(x - a)(x + 1/a)`
`(x - a)(x - 1/a)`
MCQ
Fill in the Blanks
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Solution
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`
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