Question

Find a quadratic polynomial whose zero es are 3-root5 and 3+root5

Answer 1

so the zeroes of the quadratic polynomial are 3-√5 and 3+√5
so the polynomial will be
${x}^{2} - (3 - \sqrt{5} + 3 + \sqrt{5} )x + (3 - \sqrt{5} )(3 + \sqrt{5} ) \\ = {x}^{2} - 6x + (9 - 5) \\ = {x}^{2} - 6x + 4$
so the polynomial will be (x^2-6x+4)
hope it helps,pls mark it brainliest.