Write an expression in factored form for the polynomial of least possible degree graphed below.
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
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
⇓
\(f(x)=(x-n_1)(x-n_2)(x-n_{3,4})^2(x-n_5)\)
\(f(x)=(x+4)(x+1)(x-2)^2(x-4)\\ \color{blue}x^5-3x^4-16x^3+52x^2-64\)
!