Question

Find the quadratic polynomial whose sum and product of zeroes are 1 and 1 respectively, find the quadratic polynomial.



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Answer 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find: Quadratic Polynomial.

where , ( α + β ) is sum of zeroes and αβ is product of zeroes.

Here, α = - 4 and β = 2. ⇒ α + β = -4 + 2 = -2.

αβ = -4 × 2 = -8. ⇒ Quadratic Polynomial = k ( x² - ( -2 ) x + ( -8 ) ) = k ( x² + 2x - 8 ) Therefore, Quadratic Polynomial is k ( x² + 2x - 8 )