Question

Find all the zeroes of $x^{3} +6x^{2} +11x+6$ if (x +1) is a factor.

Answer 1

Answer: - 1, -2 -3

step by step explanation :

f(x) = x^3 + 6x^2 +11x + 6

x + 1 is a factor of f(x)

f(-1) =0

(-1)^3 + 6(-1)^2 + 11(-1) +6 = 0

it can be written as

( x + 1) ( x^2 + 5x + 6 )

(x + 1) ( x^2 + 3x + 2x +6)

(x + 1) [x ( x +3) + 2 ( x+ 3)]

(x + 1) (x + 2) (x + 3)

Zero's are - 1, - 2, - 3

Hope it helps! mark as brainliest

Answer 2

Answer:

Step-by-step explanation:

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