Question

If X - 2 is a factor of x cube - 3 x +5a then find the value of a

Answer 1

x³-3x+5a

If x-2 is the factor then for x=2 then value of function is 0.

(2)³-3(3)+5a=0

8-9+5a=0

Or 5a=1

a=1/5

Answer 2

X-2 = 0

==> X = 2

PUTTING VALUE OF X IN POLYNOMIAL

==>p(x) =  x^3 - 3 x +5a

==> p(1) = (1)^3  - 3(1) + 5a

==> 1-3+5a

==> 2 + 5a

==> 5a = -2

==> a = -2/5

I HOPE ITS HELPFUL