Answer :

(i) , -1

^{2}+ bx + c = 0, and its zerors are α and β, then

sum of zeroes is

and product of zeroes is

Let the polynomial be , then

Let a = 4, then b = -1, c = -4

Therefore, the quadratic polynomial is 4*x*^{2} − *x* − 4.

(ii)

we know that for a quadratic equation in the form ax^{2}+ bx + c = 0, and its zerors are α and β, then

sum of zeroes is

and product of zeroes is

Let the polynomial be , then

If a = 3, then b = , and c = 1

Therefore, the quadratic polynomial is

(iii) 0,

we know that for a quadratic equation in the form ax^{2}+ bx + c = 0, and its zerors are α and β, then

sum of zeroes is

and product of zeroes is

Let the polynomial be , then

If a = 1, then b = 0, c =

Therefore, the quadratic polynomial is .

(iv) 1, 1

we know that for a quadratic equation in the form ax^{2}+ bx + c = 0, and its zerors are α and β, then

sum of zeroes is

and product of zeroes is

Let the polynomial be , then

If a = 1, then b = -1, c = 1

Therefore, the quadratic polynomial is .

(v)

we know that for a quadratic equation in the form ax^{2}+ bx + c = 0, and its zerors are α and β, then

sum of zeroes is

and product of zeroes is

Let the polynomial be , then

If a = 4, then b = 1, c = 1

Therefore, the quadratic polynomial is .

(vi) 4, 1

we know that for a quadratic equation in the form ax^{2}+ bx + c = 0, and its zerors are α and β, then

sum of zeroes is

and product of zeroes is

Let the polynomial be , then

If a = 1, then b = -4, c = 1

Therefore, the quadratic polynomial is .

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