Math, asked by pugalenthy2006, 9 months ago

If x + 1 is a factor of x^3+3x^2+3x+a , then a=?

1

-3

3

-1

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Answers

Answered by bhoomi976
0

Answer:

Solve it like this okkk

Attachments:
Answered by atahrv
19

Answer :

\large{\star\:\:(1.)\:\boxed{\bf{a\:=\:1}}\:\:\star}

Explanation :

Given :–

  • (x + 1) is a factor of cubic equation x³ + 3x² + 3x + a .

To Find :–

  • The value of a .

Solution :–

We have ,

→ g(x) = x + 1 =0

→ x = (-1)

p(x) = x³+ 3x² + 3x + a

Putting x = (-1) , we get :

⇒ p(-1) = (-1)³ + 3(-1)² + 3(-1) + a = 0

⇒ (-1) + 3 - 3 + a = 0

⇒ a - 1 = 0

⇒ a = 1

∴ The value of a is 1 .

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