Question

Write the quadratic polynomial, where the sum and product of zeroes are -3 and 2 respectively.​

Answer 1

Answer:

sum of zeroes= (-3)

product of zeroes=(2)

quadratic polynomial (k) = x^2 + ( sum of zeroes) x + ( product of zeroes)

(k) = x^2 + (-3)x + (2)

(k) = x^2 -3x + 2

Answer 2

$\texttt{Let \; the \; zeroes \; of \; the \; polynomial \; be}$

$\texttt{α \& β.}$

$\texttt{(α+β)} \mathtt{= -3}$

$\texttt{αβ} \mathtt{ = 2}$

$\texttt{We know that a quad. equation is in }$

$\texttt{the form,}$

$\;\;\;\;\;\;\;\;\; \texttt{x²-(α+β)x+αβ}$

$\texttt{Therefore, \; the \; required \; quad.}$

$\texttt{equation} \; \mathtt{= x²-(-3)x+2 = x²+3x+2}$