factorize
by using
factor Theorem: -
x³+6x²+11x+6
Answers
Answered by
9
Step-by-step explanation:
F(x) = x³+6x²+11x+6
F(-1)= -1+6-11+6
F(-1)= 0
i.e; f(-1) is a factor of x³+6x²+11x+6
x+1) x³+6x²+11x+6 ( x²+5x+6
x³ +x²
——————––––––
5x²+11x+6
5x²+5x
——————––––––
6x+6
6x+6
——————––––––
0
Other factor = x²+5x+6
x²+5x+6 = x²+3x+2x+6
x²+5x+6 = (x+2)(x+3)
F(x) = x³+6x²+11x+6 = (x+1) (x+2)(x+3)
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Answered by
7
Answer:
F(x) = x³+6x²+11x+6
F(-1)= -1+6-11+6
F(-1)= 0
i.e; f(-1) is a factor of x³+6x²+11x+6
x+1) x³+6x²+11x+6 ( x²+5x+6
x³ +x²
——————––––––
5x²+11x+6
5x²+5x
——————––––––
6x+6
6x+6
——————––––––
0
Other factor = x²+5x+6
x²+5x+6 = x²+3x+2x+6
x²+5x+6 = (x+2)(x+3)
F(x) = x³+6x²+11x+6 = (x+1) (x+2)(x+3)
HOPE IT WILL BE HELPFUL TO YOU..
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Step-by-step explanation:
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