Question

find a quadratic polynomial each with the given numbers as the sum and product of zeros respectively .3and4​

Answer 1

Step-by-step explanation:

x+y=3

x.y=4

x=y/4

y/4+y=3

5y/4=3

y=12/5

x=3/5

x2-3x+36/5

5x2-3x+36

Answer 2

$\sf{\large{\underline{\underline{EXPLANATION:}}}}$

$\sf{Given}\begin{cases}\sf{\alpha+\beta=3}\\ \sf{\alpha\beta=4}\end{cases}$

★Therefore,,

Quadratic polynomial,,

$\sf{ax^{2}+bx+c=x^{2}-(\alpha+\beta)x+\alpha\beta}$

$\sf{\boxed {=x^{2}-3x+4}}$

$\rule{200}2$

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