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2 degree ✖ 3 degree ✖ 4 degree ✖
When we simplify ,"2 degree + 3 degree" polynomial , we get a three degree Polynomial.
→2 degree polynomial = Polynomial in one variable having highest degree 2
=p x^2+q x+r=px
2 +qx+r
→3 degree polynomial = Polynomial in one variable having highest degree 3
=m x^3+a x^2+n x+s=mx
3+ax 2 +nx+s
So, by simplifying a "2 degree +3 degree"
\begin{gathered}=m x^3+a x^2+n x+s+p x^2+q x+r\\\\=m x^3+(a+p) x^2+(n+q) x+s+r\end{gathered}
=mx 3 +ax 2 +nx+s+px 2+qx+r=mx 3+(a+p+(n+q)x+s+r
= A three degree Polynomial
I hope it is helpful for you
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