Answer :
Final answer:
The difference between the given polynomials is obtained by subtracting each term of the second polynomial from the corresponding term of the first. This gives the result 5x^7 + 8x^4 + 3x + 3, which matches option A.
Explanation:
To find the difference between two polynomials, we subtract the second polynomial from the first one. As per the polynomial subtraction rules, we subtract the coefficients of the like terms and keep the exponent as it is.
So, for (5x^7 + 9x^4 + 3) - (x^4- 3x), we subtract each term in the second polynomial from the corresponding term in the first polynomial to get:
5x^7 + (9x^4 - x^4) + (3 + 3x) = 5x^7 + 8x^4 + 3x + 3.
So the correct option among the provided ones is A. 5x^7 + 8x^4 + 3x + 3.
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