Answer
$1.05x^4+0.36x^3+14.22x^2+x+0.97$
Work Step by Step
Add the polynomials by adding the similar terms (which are found in columns) to obtain:
$=(0.15x^4+1.25x^4+(-0.35x^4))+(0.10x^3+(-0.01x^3)+0.27x^3)+(-0.9x^2+0.01x^2+0.11x^2+15x^2)+x+(0.01+0.99+(-0.03))
\\=1.05x^4+0.36x^3+14.22x^2+x+0.97$