Question

If a cubic polynomial f(x) =kx^3-8x^2+5 has zeroes alpha - bita, alpha, and alpha plus bita then find K?

Answer 1

Answer:

Solution:-

f(x) = kx³- 8x²+ 5

Roots are α - β , α ,α + β

then,

sum of roots = -(-8)k

sum of roots = α - β + α + α + β

= 3α

now,

3α = 8k

k = 3α/8

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