Question

find quadratic polynomial 4, 1 is given the sum and the product of the polynomials of its zeroes respectively. don't spam , its urgent !!​

Answer 1

Given

Sum of zeroes = 4

Product of zeroes = 1

To find

Quadratic equation

General form of quadratic polynomial

x² - (α + β)x + αβ = 0

We have

α + β = 4

αβ = 1

Now Put the value on

x² - (α + β)x + αβ = 0

x² - 4x + 1 = 0

Quadratic polynomial is x² - 4x + 1 = 0

Answer

x² - 4x + 1 = 0

Answer 2

$\bf \color{navy}Answer:$

$\huge \bf \color{purple}x² - 4x + 1$

$\bf \color{teal}Step-by-step explanation:$

$\bf \red{Given:}$

$\bf \color{blue}Sum \: of \: zeroes = α + β = 4$

$\bf \color{brown}{Product \: of \: zeroes = αβ = 1 }$

$\bf \pink{Then, the \: quadratic \: polynomial}$

$\bf \green{= x² - (sum \: of \: zeroes)x + product \: of \: zeroes}$

$\bf \purple{= x² - (4)x + 1 }$

$\bf \color{red}{=> x² - 4x + 1}$