Question

Check if x= -y/z is zero of p(x)= zx+y * yes or no​

Answer 1

Answer:

p(x) = zx + y

at x = -y/z

p(-y/z) = z(-y/z) + y = - y + y = 0

Since, p(-y/z) = 0.

Thus, x = -y/z is a zero of the given polynomial.

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Answer 2

x+y/z=0

Multiply both sides by z. We get zx+y=0. Therefore p(x)=0 is satisfied, it is a zero of the given question.