Question

factorize
by using
factor Theorem: -
x³+6x²+11x+6​

Answer 1

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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Answer 2

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)

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Step-by-step explanation: