Polynomials

⭐ Important Questions

1. Find zeroes of 4x² - 4x - 3 and verify relationship.
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   4x² - 4x - 3 = 4x² - 6x + 2x - 3 = 2x(2x-3) + 1(2x-3) = (2x-3)(2x+1)\nZeroes: 3/2, -1/2\nSum = 1 = 4/4 ✓\nProduct = -3/4 ✓
2. Find polynomial whose zeroes are 2+√3 and 2-√3.
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   Sum = 4, Product = 4-3 = 1\nPolynomial: x² - 4x + 1