Option D: [tex]10x^4+x^3-7x^2-2x+12[/tex] is the right answer
Step-by-step explanation:
Given polynomials are:
[tex]P_1 : 2x^4+5x^3-8x^2-x+10\\P_2: 8x^4-4x^3+x^2-x+2[/tex]
We have to find the sum of polynomials
So,
[tex]S = P_1+P_2\\= (2x^4+5x^3-8x^2-x+10) + (8x^4-4x^3+x^2-x+2)\\=2x^4+5x^3-8x^2-x+10+8x^4-4x^3+x^2-x+2\\[/tex]
Combining like terms
[tex]=2x^2+8x^4+5x^2-4x^3-8x^2+x^2-x-x+10+2\\= 10x^4+x^3-7x^2-2x+12[/tex]
Hence,
Option D: [tex]10x^4+x^3-7x^2-2x+12[/tex] is the right answer
Keywords: Polynomials, sum
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