Question

plz answer this question​

Answer 1

Answer:

dear ...the answer will be like this

Answer 2

Answer:

Question :-

• If (x - a) is a factor of x³ - 3x²a + 2a²x + b, then the value of b is ?

Given :-

• If (x - a) is a factor of x³ - 3x²a + 2a²x + b.

To Find :-

• What is the value of b ?

Solution :-

Let,

$\mapsto \bf f(x) =\: x^3 - 3x^2a + 2a^2x + b$

Given ;

$\leadsto \sf (x - a)\: is\: a\: factor\: of\: f(x)$

Now,

$\leadsto \sf g(x) =\: x - a =\: 0$

$\leadsto \sf\bold{x =\: a}$

So,

$\implies \sf\bold{f(a) =\: 0}$

$\implies \sf x^3 - 3x^2a + 2a^2x + b =\: 0$

By putting x = a we get,

$\implies \sf (a)^3 - 3(a)^2a + 2a^2(a) + b =\: 0$

$\implies \sf a^3 - 3a^2a + 2a^2a + b =\: 0$

$\implies \sf a^3 - 3a^3 + 2a^3 + b =\: 0$

$\implies \sf {\cancel{a^3}} {\cancel{- a^3}} + b =\: 0$

$\implies \sf\bold{\underline{b =\: 0}}$

$\therefore$ The value of b is 0 .

Hence, the correct options is option no (a) 0 .