Question

Find a quadric polynomial the sum and product of whose zeros are 1 and 1 respectively

Answer 1

$\huge\sf\pink{Answer}$

Your Answer is x²-x+1

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$\huge\sf\blue{Given}$

✭ Sum of Zeros = 1

✭ Product of Zeros = 1

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$\huge\sf\gray{To \:Find}$

◈ A quadratic polynomial

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$\huge\sf\purple{Steps}$

Here we use the formula

$\underline{\boxed{\sf {x^2 - (\alpha + \beta)x + \alpha \beta }}}$

Substituting the given values,

➝ x² - (1)x + 1

➝ x² - 1x + 1

➝ $\sf\orange{x^2 -x +1}$

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Answer 2

Answer:

X^2-X+1

Step-by-step explanation:

Because a quadratic equation can be written as X^2-(a+b)X+ab

Where a,b are roots

Like this X^2-(1)X+(1)