8. Simplify. x+7/x^2+4x-21
A. 1/x-3
B. x-3
C. 1/x-7
D. x-7
I went with A.
Am I correct if not help me please?
you are correct.
Although, since formatting is not always clear online, you should say
1/(x-3)
so it is not confused with
1/x - 3
which is how 1/x-3 would normally be interpreted.
Okay thank you!
Wait I have one more question that I don't get
Thanks steve!!!!
To simplify the expression x + 7 / x^2 + 4x - 21, you'll need to factor the denominator and see if any common factors can be canceled out in the numerator. Let's break it down.
First, let's factor the denominator: x^2 + 4x - 21 can be factored as (x - 3)(x + 7).
Now, let's rewrite the expression with the factored denominator: x + 7 / (x - 3)(x + 7)
Here we can see that the (x + 7) terms in the numerator and denominator can cancel each other out, leaving us with: 1 / (x - 3)
So, the simplified expression is 1 / (x - 3), which corresponds to option A.
Therefore, your answer A is correct! Well done!