The zeros of the polynomial p(x) = x2

Foundation

Mathematics Foundation

zeros of a polynomial

Question

The zeros of the polynomial p(x) = x² – 3x are

0, 0

3, – 3

0, 3

0, – 3

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To find the zeros of the polynomial p(x) = x² – 3x, we set the equation equal to zero and solve for x:

x² − 3x = 0

Factor out the common term x:

x(x − 3) = 0

Set each factor equal to zero:

x = 0 or x − 3 = 0

Therefore, the zeros are x = 0 and x = 3.

Final Answer: 0, 3