The other polymnomial function is - 3x² + 4x + 1
Given the sum of two polynomial functions say P(x):
P(x) = 3x² + 3x + 8
If one of the polynomial function is G(x) = 6x² - x + 7
Let the unknown polynomial function be T(x), hence:
G(x) + T(x) = P(x)
Substitute the given functions;
6x² - x + 7 + T(x) = 3x² + 3x + 8
T(x) = 3x² + 3x + 8 - (6x² - x + 7 )
T(x) = 3x² + 3x + 8 - 6x²+ x - 7
Collect the like terms:
T(x) = 3x² - 6x² + 3x + x + 8 - 7
T(x) = - 3x²+4x+1
Hence the other polynomial function is - 3x² + 4x + 1
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