Question

6. Write a quadratic polynomial, the sum and product of whose zeroes are 3 and 2 respectively

Answer 1

sum of zeroes =3

product of zeroes =2

required polynomial, =x2-(sum of zero )x+(product of zero )

p (x)=x2-(2)x+3

p (x)=x2-2x+3

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Answer 2

Given :

• Sum of zeroes = 3

• Product of zeroes = 2

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To Find :

• Quadratic equation

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Solution :

Let the zeroes be α and β

⇒Sum of zeroes (α + β) = 3

⇒ Product of zeroes (αβ) = 2

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⇒k[x² - (sum of zeroes)x + Product]

⇒k[x² - (α + β) + αβ]

⇒k[x² - 3x + 2]

⇒x² - 3x + 2

➜ Quadratic polynomial is x² - 3x + 2