If f(x) = x^3 + 8x² + 11x-20 and x+5 is a factor of f(x), then find all of the zeros of f(x) algebraically

The zeros are (-5,-4,-1)

Step-by-step explanation:

Since we have a linear factor, we can use the method of long division to get the other factors

What this mean is that we simply divide the polynomial by the linear expression

we have this division result as;

By dividing, we have the other factor as ;

x^2 + 3x - 4

so we simply factorize this

x^2 -x + 4x - 4

x(x-1) + 4(x-1)

(x + 4)(x-1)

So the complete factors are;

(x + 5)(x + 4)(x-1)

To get the zeros, we simply equate each of the terms to zero

and we have our answer as;

-5 , -4 , 1

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer: what are the following choices