Question

F (x – 1) and (x + 2) are two factors of the polynomial 2x3 + mx2 – x – n, then the value of
(m2 – n2) is

Answer 1

Answer:

-11

Step-by-step explanation:

By remainder theorem,

f(1) = 2 + m - 1 - n = 0 ---------(1)

f(-2) = -16 + 4m + 2 - n = 0 ---------(2)

from eqn (1) ----- 1 = n - m

from eqn (2) ------ 4m - n = 14

Solving both the equations

m = 5 , n = 6

m^2 - n^2 = -11

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