Question

10.
If (x+3) is the factor of polynomial x3 +ax2+x+3 then, the value of a is:
(A) 3
(B) 4
(C) 0
(D)-3
​

Answer 1

3 is the correct answer.

hope it will help you.

please mark it as brainliest.

Answer 2

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Question :

If (x+3) is the factor of polynomial x³+ax²+x+3 then, the value of a is :

To find:

The value of a =?

$\large\sf{\color{green} SOLUTION :}$

$\hspace{3em}\implies \bf \: x + 3 = 0$

$\\ \hspace{3em} \implies \bf \: x = - 3 \: \: \: ....put \: the \: value \: in \: equation$

$\quad\implies \displaystyle \sf \: {x}^{3} + {ax}^{2} + x + 3 = 0$

$\\ \quad \implies \sf \: {( - 3)}^{3} + a {( - 3)}^{2} + ( - 3) + 3 = 0$

$\quad \implies \sf \: - 27 + 9a \cancel{ - 3 + 3} = 0$

$\\ \quad \implies \sf \: - 27 = - 9a$

$\\ \quad \implies \sf \: a = \frac{27}{9} = \cancel \frac{27}{9} = 3$

$\\ \quad \implies \boxed{ \green{ \bf{a = 3}}}$

$\: \qquad \therefore \boxed{ \underline{ \bf{the \: value \: of \: a \: is \: 3}}}$

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