5.3E: Grafu ya Kazi za Polynomial (Mazoezi)

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Kwa mazoezi yafuatayo, tafuta zero zote za kazi ya polynomial, akibainisha kuzidisha.

13. $f(x)=(x+3)^{2}(2 x-1)(x+1)^{3}$

14. $f(x)=x^{5}+4 x^{4}+4 x^{3}$

15. $f(x)=x^{3}-4 x^{2}+x-4$

Kwa mazoezi yafuatayo, kulingana na grafu iliyotolewa, tambua zero za kazi na uingizaji wa kumbuka.

16.

$Grafu ya polynomial isiyo ya kawaida na pointi mbili za kugeuka.$

17.

$Grafu ya polynomial hata shahada na pointi mbili za kugeuka.$

18.

Tumia Theorem ya Thamani ya Kati ili kuonyesha kwamba angalau sifuri moja iko kati ya 2 na 3 kwa kazi\[f(x)=x^{3}-5 x+1 \nonumber\]