Simplify. The quantity x squared plus 3 times x minus 4 over the quantity x plus 4

Question

A. 1 over the quantity x minus 4, where x does not equal 4
B. x minus 4
C. x minus 1, where x does not equal 1
D. x minus 1, where x does not equal negative 4

Answer 1

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Answer 2

Certainly!

To simplify the expression, we can use polynomial division or factorization. Factoring the numerator, we get:

x^2 + 3x - 4 = (x + 4)(x - 1)

Then, we can rewrite the expression as:

(x + 4)(x - 1) / (x + 4)

The (x + 4) terms cancel out, leaving us with:

x - 1

Therefore, the answer is C. x - 1, where x does not equal 1.

Answer 3

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Answer 4

The answer is C. x - 1, where x does not equal 1.