Answer:
4x⁴-3x⁴+5x³-3x²+1
Explanation:
Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2
p (x) - q (x) = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)
p (x) - q (x) = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2
Collect the like terms
p (x) - q (x) = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2
p (x) - q (x) = 4x⁴-3x⁴+5x³-3x²+1
This givess the difference