1.p(x) = 2x+1 2.q(y) = y²-1 3.r(z) = z³
1.p(x) - 2x + 1 is a linear polynomial. It has only one zero.
To find zeroes,
Let p(x) = 0
So, 2x + 1 = 0
Therefore x = - 1/2
The zero of the given polynomial is - 1/2
2. q(y) = y2 - 1 is a quadratic polynomial.
It has at most two zeroes.
To find zeroes, let q(y) = 0
=> y²- 1 = 0
⇒ (y + 1)(y - 1) = 0
=> y = - 1 or y = 1
Therefore the zeroes of the polynomial are-1 and 1.
3. r(z) = z3 is a cubic polynomial. It has at most three zeroes.
Let r(2)-0
=> z³= 0
=> z = 0
So, the zero of the polynomial is 0.