# Verify Whether the Following are Zeros of the Polynomial, Indicated Against them: p(x) = (x+1)(x-2), x = -1, 2

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Updated on: October 17th, 2023

x = -1, 2 are the zeros of the polynomial.

To verify whether a given value is a zero of a polynomial, we will follow these steps:

• Take the polynomial equation and substitute the given value for the variable.
• Evaluate the polynomial expression using the given value.
• If the evaluated expression equals zero, then the given value is a zero of the polynomial. If it doesn’t equal zero, then the value is not a zero of the polynomial.

## Verify Whether the Following are Zeros of the Polynomial, Indicated Against them: p(x) = (x+1)(x-2), x = -1, 2

Solution:

To verify whether the values x = -1 and x = 2 are zeroes of the polynomial p(x) = (x + 1)(x – 2), we substitute these values into the polynomial and check if the resulting expression evaluates to zero.
For x = -1:

p(-1) = (-1 + 1)(-1 – 2)= (0)(-3)= 0.

Since p(-1) evaluates to zero, x = -1 is a zero of the polynomial p(x).

For x = 2:

p(2) = (2 + 1)(2 – 2)= (3)(0)= 0.

Similarly, p(2) evaluates to zero, confirming that x = 2 is also a zero of the polynomial p(x).

Therefore, x = -1 and x = 2 are both zeroes of the polynomial p(x) = (x + 1)(x – 2).

Answer:

## x = -1, 2 are Zeros of the Polynomial p(x) = (x+1)(x-2)

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