Question

is the sum of two polynomials always a polynomials?explain

Answer 1

\[A(x) = a_0+a_1x+a_2x^2+\dots\\
B(x) = b_0+b_1x+b_2x^2+\dots\\
~\\
C(x) = A(x)+B(x)\\
\qquad\, = (a_0+b_0)+(a_1+b_1)x+(a_2+b_2)x^2+\dots\]

Answer 2

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