x^3-6x- 9. FACTORISE THE FOLLOWING
Answers
By hit and trial 3 is zero of it
so, (x-3) will be an factor of it.
Dividing x^3-6x-9 by (x-3) will give the another factor
So, refer to picture no 1 for the factorization &
Luckily I saw your question before and hence answer for your question is in second pic...
Answer =7/36
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Answer:
Step-by-step explanation:
x^3-6x-9
we can write the expresstion as follows
x^3-6x-9
x^3-9x+3x-9
x(x^2-9) +3(x-3)
we can write (x^2-9) as (x+3)(x-3)
x(x+3)(x-3) + 3(x-3)
(x-3) [x(x+3) + 3]
(x-3) (x^2+3x+3)
Factoring x2+3x+3
The first term is, x2 its coefficient is 1 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is 3 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found
Final Result:
(x-3) (x^2+3x+3)