Question

find the quadratic polynomial whose sum of the zero is 3 and the product of the zero is 4​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Gɪᴠᴇɴ :-

• Sum of zeroes = 3

• Product of zeroes = 4

ᴛᴏ ғɪɴᴅ :-

• Quadratic Equation

sᴏʟᴜᴛɪᴏɴ :-

Let the zeroes of quadratic equation be α and β

Then,

➡ ( α + β ) = 3

➡ (αβ) = 4

Now,

We know that,

To form a quadratic polynomial we have a formula :-

➦ p(x) = { x² - ( α + β)x + (αβ)} = 0

So, we get,

➦ x² - 3x + 4 = 0

Hence,

Quadratic Polynomial is (x² - 3x + 4)