Question

find the quadratic polynomial with variable
the sum and product of
whose Zeroes are 12 and 1/3​

Answer 1

Step-by-step explanation:

$\implies \sf{ \dfrac{x}{5} \:-\: 3 \:=\: x^{2} }$

$\implies \sf{ \dfrac{x}{5} \:=\: x² \:+\: 3}$

$\implies \sf{ x \:=\: 5 ( x² + 3 )}$

$\implies \sf{ x \:=\: 5x² + 15 }$

$\implies \sf{ x - 5x² \:=\: 15 }$

$\implies \sf{ x - 5x² - 15 \:=\: 0 }$

$\implies \sf{ - 5x² + x - 15 \:=\: 0}$

$\implies \sf{ - ( - 5x² + x - 15 ) \:=\: 0 }$

$\implies \sf{ 5x² - x + 15 \:=\: 0 }$

$\implies \sf{ 5x² + 15 \:= \:x }$

$\implies \sf{ x \:=\: 5x² + 15 }$