What are the zeros of a polynomial? Explain with an example. Also, find the zeros of the polynomial x^2 + 2x + 1.

Q: What are the zeros of a polynomial? Explain with an example. Also, find the zeros of the polynomial x^2 + 2x + 1.

Zeros of a Polynomial\nThe zeros of a polynomial are the values of the variable for which the polynomial evaluates to zero.\nFor example, consider the polynomial x^2 - 4. To find its zeros, we set the polynomial equal to zero and solve for x:\nx^2 - 4 = 0\nx^2 = 4\nx = ±√4\nx = ±2\nSo, the zeros of the polynomial x^2 - 4 are x = 2 and x = -2.\nTo find the zeros of the polynomial x^2 + 2x + 1, we can factor it as (x + 1)^2. Therefore, the zero of the polynomial is x = -1.

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Zeros of a Polynomial
The zeros of a polynomial are the values of the variable for which the polynomial evaluates to zero.
For example, consider the polynomial x^2 - 4. To find its zeros, we set the polynomial equal to zero and solve for x:
x^2 - 4 = 0
x^2 = 4
x = ±√4
x = ±2
So, the zeros of the polynomial x^2 - 4 are x = 2 and x = -2.
To find the zeros of the polynomial x^2 + 2x + 1, we can factor it as (x + 1)^2. Therefore, the zero of the polynomial is x = -1.

CBSE · Class 10 · Mathematics · PolynomialsWhat are the zeros of a polynomial? Explain with an example. Also, find the zeros of the polynomial x^2 + 2x + 1.