Question
Download Solution PDFIf 3x2 + ax + 4 is perfectly divisible by x – 5, then the value of a is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven our polynomial is (3x2 + ax + 4) and it is perfectly divisible by (x - 5), the remainder is (0) when (x = 5).
So, let's substitute (x = 5) into (3x2 + ax + 4) and set it equal to (0):
[3(5)2 + a(5) + 4 = 0]
[3(25) + 5a + 4 = 0]
[75 + 5a + 4 = 0]
[79 + 5a = 0]
Solving for (a), we get:
[5a = -79]
[a = -79/5
[a = -15.8]
∴ The value of (a) is (-15.8).
Alternate Method3x2 + ax + 4 is perfectly divisible by x – 5,
⇒ 3 × 25 + 5a + 4 = 0
⇒ 5a = -79
∴ a = -15.8Last updated on Jun 11, 2025
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