a. R(x)+S(x) = ($-8x^{4}+6x^{3}+2x^{2}-5x+1) + (x^{4}-8x^{3}+2x+3)$
= $-7x^{4}-2x^{3}+2x^{2}-3x+4$
b. R(x) - S(x) = $(-8x^{4}+6x^{3}+2x^{2}-5x+1) - (x^{4}-8x^{3}+2x+3)$
= $-9x^{4}+14x^{3}+2x^{2}-7x-2$
a. R(x)+S(x) = ($-8x^{4}+6x^{3}+2x^{2}-5x+1) + (x^{4}-8x^{3}+2x+3)$
= $-7x^{4}-2x^{3}+2x^{2}-3x+4$
b. R(x) - S(x) = $(-8x^{4}+6x^{3}+2x^{2}-5x+1) - (x^{4}-8x^{3}+2x+3)$
= $-9x^{4}+14x^{3}+2x^{2}-7x-2$