1. Find the square root of the following polynomials by division method
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1. (x² - 2x + 3)² = x⁴ - 4x³ + 10x² - 12x + 9
2. (2x² + 2x + 1) = 4x⁴ + 8x³ + 8x² + 4x + 1
3. (3x² - x + 1)² = 9x² - 6x³ + 7x² - 2x + 1
4. (4x² - 3x + 2) = 16x⁴ - 24x³ + 25x² - 12x + 4
see attachment for more details . I hope it will help you....
2. (2x² + 2x + 1) = 4x⁴ + 8x³ + 8x² + 4x + 1
3. (3x² - x + 1)² = 9x² - 6x³ + 7x² - 2x + 1
4. (4x² - 3x + 2) = 16x⁴ - 24x³ + 25x² - 12x + 4
see attachment for more details . I hope it will help you....
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i ) Square root of x⁴-4x³+10x²-12x+9
= x² - 2x + 3
ii ) Square root of 4x⁴ +8x³+8x²+4x+1
= 2x²+2x+1
••••
= x² - 2x + 3
ii ) Square root of 4x⁴ +8x³+8x²+4x+1
= 2x²+2x+1
••••
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