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Write an expression in factored form for the polynomial of least possible degree graphed below.

 

 Mar 26, 2021
 #1
avatar+112907 
+2

It has  4 directions so the highest power of x must be 4 (or possibly bigger but probably 4.

the most right point  has a positive y value so the leading coefficient is positive  (k is positive)

 

y=  k(x+3)(x+1)(x-1)(x-2)      

 

now sub in (0,4) to find k

 Mar 26, 2021
 #2
avatar+11267 
0

Ausdruck in faktorierter Form  für das Polynom, das unten dargestellt wird.

 

Hallo Gast, hallo Melody!

 

Der Ausdruck ist der Aussageteil einer Funktion, wo die x-Werte der Nullstellen für  \(n_x\) 

 

                                       Minimum als Nullstelle

                                                          ⇓

\(f(x)=(x-n_1)(x-n_2)(x-n_{3,4})^2(x-n_5)\)

\(f(x)=(x+4)(x+1)(x-2)^2(x-4)\\ \color{blue}x^5-3x^4-16x^3+52x^2-64\)

 

laugh  !

 Mar 26, 2021

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