Factor the polynomial completely given that k=4 is a zero. also list the zeroes of p(x). p(x) x^4-2x^3-7x^2-4x

If it is known that k=4 is polynomial's zero, then the polynomial should have x-4 as its factor.

Factor the polynomial:

1)

2) Consider the polynomial

3) The expression is a perfect square:

Therefore,

Zeroes: 0, 4, -1 (twice)

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step-by-step explanation:

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