A quadratic polynomial whose sum and product of zeroes are 0 and 5 respectively, is : (A) x²-5 (B)x² + 5 (C) x² + x-5 (D) None of these
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Answer:
x^2 + 5
Step-by-step explanation:
If α and β are the roots of the quadratic polynomial , then the equation becomes:
x^2 −(α+β)x+αβ
Here sum =0 and product = 5
∴ quadratic polynomial = x^2 - 0x + 5 = x^2 + 5
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