Subtract 5, x, squared, minus, 9, x, minus, 105x 2 −9x−10 from minus, 6, x, squared, plus, 6, x−6x 2 +6x.
Question
Subtract 5, x, squared, minus, 9, x, minus, 105x 2 −9x−10 from minus, 6, x, squared, plus, 6, x−6x 2 +6x.
Solution
To subtract one polynomial from another, you need to subtract each corresponding term in the two polynomials.
The given polynomials are:
- -5x^2 - 9x - 10
- -6x^2 + 6x
Subtract the second polynomial from the first:
(-5x^2 - 9x - 10) - (-6x^2 + 6x)
This simplifies to:
-5x^2 - 9x - 10 + 6x^2 - 6x
Combine like terms:
x^2 - 15x - 10
So, the result of subtracting the second polynomial from the first is x^2 - 15x - 10.
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