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)

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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36 is the final answer! : )