Add (4x^5-3x^4-7x^3+7x^2)+(5x^4+x^3-2x+1) A 4x^5+8x^4-6x^3-5x^2-2x+1 B. 4x^5+2x^4-6x^3+7x^2-2x+1 C. 4x^5+8x^4-8x^3-7x^2-2x+1 D. 9x^5+4x^4-9x^3-7x^2-2x+1

To add the given polynomials, we combine like terms:<br /><br />$(4x^{5}-3x^{4}-7x^{3}+7x^{2})+(5x^{4}+x^{3}-2x+1)$<br /><br />Combine like terms:<br /><br />$4x^{5} + (-3x^{4} + 5x^{4}) + (-7x^{3} + x^{3}) + 7x^{2} - 2x + 1$<br /><br />Simplify:<br /><br />$4x^{5} + 2x^{4} - 6x^{3} + 7x^{2} - 2x + 1$<br /><br />Therefore, the correct answer is:<br /><br />B. $4x^{5}+2x^{4}-6x^{3}+7x^{2}-2x+1$