Answer:The question appears to involve multiplying the polynomial 2x³ - 10x² + 14x + 2 by the binomial 2x + 1. To verify or check this multiplication, you should perform polynomial multiplication step-by-step. First, distribute each term of the binomial across the polynomial: (2x³ - 10x² + 14x + 2) × (2x + 1) = (2x³ - 10x² + 14x + 2) × 2x + (2x³ - 10x² + 14x + 2) × 1.Then, multiply each term accordingly:- (2x³ - 10x² + 14x + 2) × 2x = (2x³)(2x) - (10x²)(2x) + (14x)(2x) + (2)(2x)- (2x³ - 10x² + 14x + 2) × 1 = (2x³ - 10x² + 14x + 2)Finally, combine all the terms and simplify to get the resulting polynomial. If you need further assistance with the detailed calculation or verification, please let me know.Step-by-step explanation: