The HCF of 20x⁵-38x⁴+43x³-25x² and 15x⁵-19x⁴+4x³ is:
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Step-by-step explanation:
Factors of 20x⁵ - 38x⁴ + 43x³ - 25x²
= 2 × 2 × 5 × x² × x³ - 2 × 19 × x² × x² + 43 × x² × x - 5 × 5 × x²
Factors of 15x⁵ - 19x⁴ + 4x³
= 3 × 5 × x² × x³ - 19 × x² × x² + 2 × 2 × x² × x
∴ HCF = 2 × 2 × 5 × 19 × x² × x = 380x³ is the answer
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