Question

find the quadetic polynomial , whoes sum of zero is -3 and product of zero is 5​

Answer 1

Answer:

${ \large{ \pmb{ \sf{★Given... }}}}$

Sum of Zeroes = -3

Product of zeroes = 5

${ \large{ \pmb{ \sf{★To \: Find... }}}}$

Quadratic Polynomial..?

${ \large{ \pmb{ \sf{★Formula \: Used... }}}}$

${ \sf{General \: Form = k \bigg[ {x}^{2} - ( \alpha + \beta )x + \alpha \beta \bigg]}}$

${ \large{ \pmb{ \sf{★Solution... }}}}$

${ \implies{ \sf{k \bigg[ {x}^{2} - (-3) x + 5 \bigg]}}}$

$\: { \implies{ \sf{k \bigg[ {x}^{2} + 3 x + 5 \bigg]}}}$

Now Taking K as 1

$\: { \implies{ \sf{1 \bigg[ {x}^{2} + 3 x + 5 \bigg]}}}$

${ \implies{ \sf{ {x}^{2} + 3x + 5 }}}$

${ \large{ \pmb{ \sf{★Final \: Answer... }}}}$

x² + 3x + 5 is the required polynomial.