AIR MATH

Math Question

Which of the following equations demonstrate that the set of polynomials is not closed under the certain operations? A. Subtraction: \( \left(3 x^{4}+x^{3}\right)-\left(-2 x^{4}+x^{3}\right)=5 x^{4} \) B. Multiplication: \( \left(x^{2}-5 x+3\right)(x-5)=x^{3}-10 x^{2}+28 x-15 \) C. Addition: \( \left(x^{2}+x\right)+(x+1)=x^{2}+2 x+1 \) D. Division: \( \left(x^{2}-5 x+3\right) \div(x-2)=x-3+\frac{-3}{x-2} \)

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