First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)
The absolute value of a negative integer is the positive number of the same integer. I hope that made sense.
given a polynomial with factor (x - a)
Then x = a is a root of the polynomial and f(a) = 0
(1)
(x+ 2) is a factor , hence x = - 2 is a root
Evaluate the polynomial for x = - 2
f(- 2) = 5(- 2)³ + 8(- 2)² - 7(- 2) - 6 = - 40 + 32 + 14 - 6 = 0
Hence (x + 2 ) is a factor
(2)
If (x + 1) is a factor then x = - 1 is a root
5(- 1)³ + 8(-1)² - 7(- 1) - 6 = -5 + 8 + 7 - 6 = 4
Since f( - 1) ≠ 0
Then (x + 1) is not a factor
Answer:
Let X represent Nick's age and Y represent Sara's age.
Then, it is given that: Nick is four years older than Sara.
We write the statement as:
or 
The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.
In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.
16 it's just double the the denominator and the top number
