x³-3x²-9x-5 factorise class9
Answers
Answered by
6
OK see the solution if you have any question please ask
Attachments:
Answered by
1
Step-by-step explanation:
Given :
A polynomial x^3 - 3x^2 - 9x - 5
To Find :
Three factors of polynomial x^3 - 3x^2 - 9x - 5
Solution :
Constant Term = -5
Factors of Constant Term = 1,5
Putting x = 1 :
→ (1)^3 - 3(1)^2 - 9(1) - 5
→ 1 - 3 - 9 - 5
→ 1 - 17
→ - 16
Putting x = -1 :
→ (-1)^3 - 3(-1)^2 -9(-1) - 5
→ - 1 - 3 + 9 - 5
→- 4 + 9 - 5
→5 - 5
→ 0
- x = -1 is the root .
- x + 1 is the factor.
(Refer to the attachment)
Now :
→ x^2 - 4x - 5
→ x^2 - (5x - 1x) - 5
→ x^2 - 5x + 1x - 5
→x(x - 5) + 1(x - 5)
→ (x + 1)(x - 5)
So , The three factors are (x+1) , (x-5) , (x+1)...
Attachments:
Similar questions
Physics,
5 months ago
Hindi,
5 months ago
Computer Science,
5 months ago
Chemistry,
11 months ago
India Languages,
11 months ago
English,
1 year ago
Math,
1 year ago
Science,
1 year ago