> #mathematics , #polynomials , #equations , #algebra > 2x²-9x-35÷(x-1)(x-2)(x+3)?
###### Anonymous
more than 4 weeks ago

# 2x²-9x-35÷(x-1)(x-2)(x+3)?

2x²-9x-35÷(x-1)(x-2)(x+3)
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more than 4 weeks ago
To simplify the expression 2x²-9x-35÷(x-1)(x-2)(x+3), we can start by factoring the numerator.

The numerator, 2x²-9x-35, can be factored as (2x+5)(x-7).

So the expression becomes (2x+5)(x-7)÷(x-1)(x-2)(x+3).

Now, we can cancel out common factors between the numerator and denominator.

The (x-7) term in the numerator cancels out with the (x-1) term in the denominator.

The (x+3) term in the numerator cancels out with the (x+3) term in the denominator.

So the simplified expression is (2x+5)÷(x-2).

Therefore, the simplified expression is 2x+5 divided by x-2.
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