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The expression which can be used to determine the algebraic sum of the given polynomials as in the task content is; -11x² +4x +14.

Which expression can be used to find the sum of the given polynomials?

It follows from the task content that the polynomials whose sum are to be determined are; (9 - 3x2) + (-8x2 + 4x + 5).

Hence, the sum can be evaluated as follows;

= 9 - 3x² + -8x² + 4x + 5

= -11x² +4x +14.

Consequently, the required expression is; -11x² +4x +14.

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