Question

Example 2. Find a quadratic polyno-
mial each with the given numbers as the sum
and product of its zeroes respectively.
- 1
(0)
4
142.
1
3
(iv) 1, 1
(iii) 0, 75
1 1
(v) -
4' 4
(vi) 4, 1​

Answer 1

Answer:

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Step-by-step explanation:

Answer

If zeros of quadratic polynomial f(x) are know, then find required polynomial by following formula

Let f(x)=k{x

2

−(zero of zeros)+x+product of zeros}, where k=a real number

Let f(x) be a quadratic polynomial

Sum and product of whose zeros are 1 and 1 respectively

f(x)=k{x

2

−1.x+1}=k(x

2

−x+1)

(where k is a constant term)

Hence, required polynomial is x

2

−x+1