Answer:
f(x) = x³ + 3x² - 6x - 8
Step-by-step explanation:
given the zeros of a polynomial x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and f(x) is the product of the factors
here x = - 1, x = 2 and x = - 4 are the zeros, hence
(x + 1), (x - 2) and (x + 4) are the factors
f(x) = a(x + 1)(x - 2)(x + 4) ← a is a multiplier
let a = 1, then
f(x) = (x + 1)(x - 2)(x + 4)
= (x² - x - 2)(x + 4)
= x³ - x² - 2x + 4x² - 4x - 8
= x³ + 3x² - 6x - 8
(a) I'd say sometimes true. 3 + -7= -4 , -5 + 3= -2 , 8+-5=3, 7+-7=0
(b) I'm not too sure about this one but I what i know is that if the positive number is higher than the negative number it will be a positive. If you are adding both a negative number and a positive number that is the same value it will be 0. And if you are adding a negative that is higher than the positive it will be a negative number.
I hope this helped a bit.. (:
please help me out please help me out please help me out
It is the sum of the integers from 1-41 minus the sum of the integers from 1-24 divided by 17
the sum of the integers from 1-41 is (42)(45)/2 = 861
the sum of the integers from 1-24 is (24)(25)/2 = 300
(861-300)/17 = 33
The answer is 33