Question

find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of this polynomial by factorization .(I) -3/2√5,-1/2​

Answer 1

Answer:

since sum of Zeros = -3/2√5

product of Zeros = -1/2

polynomial

x^2 - (sum of Zeros) + product of Zeros

x^2 + 3/2√5 X -1/2

2x^2 + 3/√5 X -1

2√5x^2 + 3x -√5

now factors

2√5x^2 + 3x -√5

2√5x^2 + (5-2)x -√5

2√5x^2 + 5x - 2x -√5

√5x(2x-√5) +1(2x -√5)

(2x -√5)(√5x +1)