Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively,
(1) 1/4, -1

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Answer 1

Step-by-step explanation:

Sum of zeroes,α+β=1/4

Product of zeroes, αβ = -1

.

. . The required quadratic polynomial

is p(x)= x²-(α+β)x+α×β

= x²- 1/4x+(-1)

= x²-1/4x-1

= 4x²-x-4/4

= 4x²-x-4