Question

If the two zeroes of the polynomial f(x) = x3 – 6x2 + mx + n are 2 5 and 2 5, + − then find third zero and values of m and n.
Please answer fast!!!!!!!!

Answer 1

Answer:

Since, it is given that -25 and+25 are the zeroes of the polynomial , therefore, f(x) = x3 – 6x2 + mx + n (x+25) and( x-25) are also the zeroes of the given polynomial. Now, consider the product of zeroes as follows:

(x+25) ( x-25)

(x)^2- (25)^2

x^2-625

We now divide by f(x)= x3 – 6x2 + mx + n

From the division, we observe that the quotient and the remainder

by solving you got your answer