give an
example for quadatic polynomial with one zero
value
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Step-by-step explanation:
Quadratic polynomial having only one zero: f(x) = (x-1)^2f(x)=(x−1)
2
Solution:
Given that,
We have to write one quadratic polynomial that has one zero
Quadratic polynomial having only one zero:
\begin{lgathered}f(x) = (x-1)^2\\\\f(x) = x^2 - 2x + 1\end{lgathered}
f(x)=(x−1)
2
f(x)=x
2
−2x+1
Find the zeros:
\begin{lgathered}(x-1)^2 = 0\\\\x - 1 = 0\\\\x = 1\end{lgathered}
(x−1)
2
=0
x−1=0
x=1
Thus we get, only one zero at x = 1
Similarly,
We can take any polynomial like: (x-2)^2 , (x-5)^2 , ....(x−2)
2
,(x−5)
2
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