Question

find the sum of the following polomials and write the degree of the sum so obtained. 2)5x⁴-3x³-6x²+4x+3;2x³+7x²+8​
please tell me

Answer 1

Answer:

5x⁴-x³+x²+4x+11, degree: 4

Answer 2

$the \: two \: polynomials \: listed \: above \: are \: \\ their \: sum \: \\ = 5x⁴-3x³-6x²+4x+3 + 2x³+7x²+8 +3\\ rearranging \: terms \: \\ = 5x {}^{4} - 3x {}^{3} + 2x {}^{3} - 6x {}^{2} + 7x {}^{2} + 4x + 8 +3\\ = 5x {}^{4} - x {}^{3} + x {}^{2} + 4x + 11$

as polynomial 5x^{4} is the polynomial of highest power so the degree of polynomial is 4