Question

If mx² – nx + 8 has x – 2 as a factor, then ______.

पर्याय

• 2m – n = 4

• 2m + n = 4

• 2n + m = 4

• n – 2m = 4

Answer 1

If mx² – nx + 8 has x – 2 as a factor, then n – 2m = 4.

Explanation:

Let f(x) = mx² – nx + 8

Given x – 2 is a factor of f(x).

Then f(2) = 0

`\implies` m × 2² – n × 2 + 8 = 0

`\implies` 4m – 2n + 8 = 0

`\implies` 2m – n + 4 = 0

`\implies` n – 2m = 4