Question

If x-2 is the factor of x3-3x+5a then find the value of a

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

$\textsf{ \blue{ What do you mean by factors?}}$

The terms in which value of x when substituted leaves final value of p(x) = "0".

Here, x - 2 is factor. So value of x is 2.

Substituting value of x we get,

$p(x) = {x}^{3} - 3x + 5a \\ p(2) = {2}^{3} - 3(2) + 5a \\ 0 = 8 - 6 + 5a \\ - 2 = 5a \\ - 0.4 = a$

$\boxed{ \textsf{ \red{ Value\:of\:a\:is\:-0.4 }}}$

$\textbf{ Have great future ahead! }$

Answer 2

This  is the  answer  with steps