To find the possible zeros, use the Rational Root Theorem. Factor the polynomial using synthetic division or long division. The real zeros of the function are x = -1/2, 1.
Given the polynomial 2x^2+x^2-2x-1, we need to find the possible zeros, factor the polynomial, and give the real zeros of the function.
To find the possible zeros, we can use the Rational Root Theorem.
The possible zeros are the factors of the constant term (in this case, -1) divided by the factors of the leading coefficient (in this case, 2).
So the possible zeros are: ±1/2, ±1.
To factor the polynomial, we can use synthetic division or long division to divide the polynomial by each possible zero.
The real zeros of the function can be found by setting the factors obtained from factoring the polynomial equal to zero and solving for x. So the real zeros of the function are: x = -1/2, 1.
The probable question may be:
a. Find the possible zeros
b. Factor the polynomial
c. Give the real zeros of the function
2x^2+x^2-2x-1