Write a polynomial equation of degree 4 in standard form that has the solutions i, −i, 1, −1.

x⁴ + 2 x² + 1

Step-by-step explanation:

given solution of the polynomial

i, −i, 1, −1.                        

equation of the polynomial will be equal to

 =(x - i)(x + i)(x - 1)(x + 1)                      

 = (x² + i x - i x - i²)(x² + x - x + 1)            

 =(x² - (-1))(x² + 1 )                        

 = (x² + 1)(x² + 1)                        

= x⁴ + x² + x² + 1                          

= x⁴ + 2 x² + 1                                    

hence, the required polynomial equation is x⁴ + 2 x² + 1          

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.