If x + 1 is a factor of x^3+3x^2+3x+a , then a=?
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Solve it like this okkk
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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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