Construct a polynomial function of least degree possible using the given information. real roots: −1, 1, 3 and (2, f(2)) = (2, 5)

f(x) = (-5/3)x³ +5x² +(5/3)x -5

Step-by-step explanation:

For root "a", the polynomial will have a factor (x -a). Given the three roots, the polynomial will be the product of the three factors ...

... p(x) = (x +1)(x -1)(x -3)

The value of p(2) is 3·1·(-1) = -3. In order to make f(2) = 5, we need to multiply p(x) by -5/3.

... f(x) = (-5/3)p(x)

... f(x) = (-5/3)(x +1)(x -1)(x -3)

Expanding gives

... f(x) = (-5/3)x³ +5x² +(5/3)x -5

hey there!

12 is twice as much as 6 because 6 goes into 12 2 times.

since the rabbit is twice as tall, we should multiply the weight of the first rabbit, 0.25, by 2.

0.25 x 2 = 0.5

therefore, the 12 inch chocolate rabbit weighs 0.5 lb, or half a pound.

hope this !

(c, 0) i might be wrong so don't put full faith on my answer