The polynomial $\mathrm{f}(x)$ has the property $\mathrm{f}(a)=0$. Write down a factor of \(\mat

Question

The polynomial $\mathrm{f}(x)$ has the property $\mathrm{f}(a)=0$. Write down a factor of $\mathrm{f}(x)$. It is further given that $\mathrm{f}'(a)=0$. What can be deduced about the factorised form of $\mathrm{f}(x)$?

Accepted Answer

(i) $(x-a)$ is a factor (ii) $(x-a)^2$ is a factor

NJC IP4 Techniques of Differentiation Tutorial Q4

NJC IP4 Techniques of Differentiation Tutorial Q4

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