Question

I know my handwriting is not good please try to answer

anyone have dare to answer​

Answer 1

Step-by-step explanation:

Given: (x - α) is a factor of f(x) = x³ - mx² - 2αnx + nx².

∴ when (x - a) is a factor of f(x), then f(a) = 0.

Now,

⇒ f(α) = (α)³ - m(α)² - 2αn(α) + nα²

⇒ 0 = α³ - mα² - 2nα² + nα²

⇒ 0 = α³ - mα² - nα²

⇒ 0 = α²(α - m - n)

⇒ α - m - n = 0

⇒ α = m + n

Hope it helps!