Use the factorization to find the values of x for which p(x) = 0. (x – 1)(x + 1)(x + 5) = 0 x – 1 = 0, so x = x + 1 = 0, so x = x + 5 = 0, so x =

Factorization involves splitting a function into factors.

The values of x are: -5, -1 and 1

The function is given as:

Set to 0

Split

Remove brackets

Solve for x

Hence, the values of x are: -5, -1 and 1

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given (x - 1)(x + 1)(x + 5 ) =0

that is a product of factors equating to zero

to solve equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

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step-by-step explanation: