Question

find quadratic polynomial whose sum of zeroes is 2 and product is 1​

Answer 1

Answer:

x^2-2x+1 is the Q E formed

Step-by-step explanation:

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Answer 2

The quadratic polynomial is $\bf \red{{x}^{2} - 2x + 1}$

Given:

• Sum of zeroes is 2 and product is 1.

To find:

• Find the quadratic polynomial.

Solution:

Concept to be used:

If $\alpha \: and \: \beta$ are the zeros of polynomial, then quadratic polynomial is given by

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

Step 1:

Write the given values.

Let the quadratic polynomial have zeros

$\alpha \: and \: \beta$.

Sum of zeros is 2, i.e.

$\alpha + \beta = 2 ...eq1$

and product of zeros is 1.

$\alpha \beta = 1 ...eq2$

Step 2:

Find the quadratic polynomial.

Put the values from eq1 and eq2; to find the quadratic polynomial.

${x}^{2} - 2x + 1$

Thus,

The quadratic polynomial is $\bf {x}^{2} - 2x + 1$

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