Answer:
x + 2, x ≠ -2
Step-by-step explanation:
Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2. The quotient is x + 2, which in this problem has been named h(x).
The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.
Answer:
6x - 24
Step-by-step explanation:
6(x-4) .....
Multiply the parentheses by 6:
6x - 6 x 4
Multiply the numbers:
6x - 24
Answer:
The rational zero of the polynomial are
.
Step-by-step explanation:
Given polynomial as :
f(x) = 4 x³ - 8 x² - 19 x - 7
Now the ration zero can be find as
,
where P is the constant term
And Q is the coefficient of the highest polynomial
So, From given polynomial , P = -7 , Q = 4
Now , 
I.e
=
Or, The rational zero are 
Hence The rational zero of the polynomial are
. Answer
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.