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Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:
Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;
Cancelling (x + 9) throughout leaves you with;
The only restrictions here is if x = 1 and 9 which will give an undefined answer.
Answer:
Step-by-step explanation:
Use synthetic division:
-6 | 2 8 -25 -6 14
<u>____-12_24_ 6_ 0</u>
2 -4 -1 0 | 14
-6 comes from x+6=0 where x=-6
We drop the first number 2 and multiply it by -6. We then combine 8 and -12 to get -4. We repeat this process until the last column. The answer will be in coefficients with a remainder if there is one.
Therefore, the correct answer is .