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

we know that for a quadratic equation in the form ax2 + 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 4x2x − 4.

(ii) we know that for a quadratic equation in the form ax2 + 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 and 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 ax2 + 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 ax2 + 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 ax2 + 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 ax2 + 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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