Question

6. The quadratic polynomial whose sum of zeros is 3 and the product of zeros is 2 is

a. x2 + 3x - 2
b. x2 - 2x + 3
t. ² – 3x+2
d. x2 – 3x - 2​

Answer 1

Answer:

c is correct

Step-by-step explanation:

we have ,

sum of zeroes = 3

product of zeroes = 2

since,

= x2 -( sum of zeroes )x + product of zeroes.

=x2-3x+2

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 (c)