Algebra

Quantitative Aptitude (CCS)

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If the expression x³ + 3x² + 4x + k has a factor x + 5, then what is the value of k?

–70

–48

Explanation:

Here, x + 5 is a factor.
So, x + 5 = 0 ⇒ x = –5
Now, x³ + 3x² + 4x + k = (–5)³ + 3 × (–5)² + 4 × (–5) + k
⇒ –125 + 75 – 20 + k = 0
Now, –70 + k = 0
So, k = 70.

By: Amit Kumar

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