Select the correct answer from each drop-down menu. Use the remainder theorem to verify this statement.
(x+5) is a factor of the function f(x) = x^3 + 3x^2 - 25x - 75
1. Find the (product, quotient, difference, sum) of f(x) and x + 5
2. The (quotient, remainder, sum, discriminant) of this operation is 0
3. Therefore, (x+5) is (not a factor, the opposite, a factor, the simplified form) of function f
4. So f ([-75, 5, -5, 75)] = 0

1. quotient

2.remainder

3. a factor

4. 5

Step-by-step explanation:

i just took the test

b. b < 1 might be the correct answer

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.