Factorise
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it is factorise by factor therome
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Final Answer : (x+2)(x-3)(2x+1)
Steps:
1)
Let f(x) =
By inspection,
f(-2) = 2(-2)^3 -(-2)^2 -13(-2) - 6
= -16-4+26-6 = 0
By Factor Theorem,
(x+2) is factor of f(x).
2) So, we divide f(x) by (x+2) as shown in pic.
We get quotient as
3) Now,
Therefore,
Factorisation is
(x+2)(2x+1)(x-3)
Steps:
1)
Let f(x) =
By inspection,
f(-2) = 2(-2)^3 -(-2)^2 -13(-2) - 6
= -16-4+26-6 = 0
By Factor Theorem,
(x+2) is factor of f(x).
2) So, we divide f(x) by (x+2) as shown in pic.
We get quotient as
3) Now,
Therefore,
Factorisation is
(x+2)(2x+1)(x-3)
Attachments:
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