8. Find the product of the algebraic expressions (2x²– 5x + 1) and (7x³ – 5x² + 3x + 2).
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(2x²– 5x + 1) × (7x³ – 5x² + 3x + 2).
= 2x² (7x³- 5x² + 3x + 2) - 5x² (7x³- 5x² + 3x + 2) +1 (7x³- 5x² + 3x + 2)
= 14x⁵ - 10x⁴ + 6x³ + 4x² -35x⁵ - 25x⁴ + 15x³ + 10x³ + 7x³ - 5x² + 3x + 2
= 14x⁵-35x⁵-10x⁴-25x⁴+6x³+15x³+10x³+7x³+4x²-5x²+3x+2
= -21x⁵ -35x⁴+38x³-x²+3x+2
Final answer : -21x⁵ -35x⁴+38x³-x²+3x+2
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