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Find a quadratic polynomial the sum and product of the zeroes. Also Find the zeroes of the polynomial by factorization1. -8/3 , 4/32. 21/8 , 5/16 3 . -2root3 , -9 |
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Answer» Answer: Let a and b be the two zeroes of the QUADRATIC polynomial. a+b=8/4=2. ab=4/3. To find: Quadratic polynomial and its roots by FACTORISATION method. Formula of quadratic polynomial: {X}^{2} - (a + b)x + abx 2 −(a+b)x+ab By substituting the given in formula: = > {x}^{2} - 2x + \frac{4}{3}=>x 2 −2x+ 3 4
= > \frac{3 {x}^{2} - 6x + 4 }{3} = 0=> 3 3x 2 −6x+4
=0 The required quadratic equation is: 3x²-6x+4=0 |
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