The polynomial 8x⁴ - (2/3)x² - (2/3)x correctly combines the like terms and puts the polynomial (1/3)x + 8x⁴ - (2/3)x² - x in the standard form option (C) is correct.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
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It is given that:
The polynomial:
(1/3)x + 8x⁴ - (2/3)x² - x
Adding combine like terms:
= 8x⁴ - (2/3)x² + (1/3)x - x
= 8x⁴ - (2/3)x² - (2/3)x
Thus, the polynomial 8x⁴ - (2/3)x² - (2/3)x correctly combines the like terms and puts the polynomial (1/3)x + 8x⁴ - (2/3)x² - x in the standard form option (C) is correct.
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