Question

Find the quadratic polynomial whose sum of zeroes and product of

zeroes are respectively 1,-1​

Answer 1

Answer:

α + β = 1/1 = -b/a

αβ = -1/1 = c/a

a = 1, so b = -1 and c = -1.

k(x² - x - 1) is the required Quadratic Polynomial.

Step-by-step explanation:

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Answer 2

Answer:

x²-x+1

Step-by-step explanation:

The Polynomials with zeros α and β is

=x²-( α + β)x + αβ

=x²-(1)x+(1)

=x²-x+1