Question

find the zero of
polynomial?
f(x) = x²-5x+6​

Answer 1

Answer:

x² -3x -2x + 6

x ( x-3 ) -2 ( x-3)

(x- 3) and ( x-2)

therefore zeroes are either 3 or 2

Answer 2

$\large{\underline{\red{\rm{Given:}}}}$

f(x) = ${x}^{2} - 5x + 6$

$\large{\underline{\red{\rm{To\:Find:}}}}$

$\mathrm{The\:zero\:of\:polynomial}$

$\large{\underline{\green{\rm{Solution-}}}}$

$f(x) \: = \: {x}^{2} - 5x \: + 6$

$\: {x}^{2} - 5x \: + 6 = \: 0$

$\: {x}^{2} - 2x \: - 3x \: + 6 = \: 0$

$x( \: x - 2 \: ) - 3( \: x - 2 \: ) = \: 0$

$\: ( \: x - 3 \: )( \: x - 2 \: ) = \: 0$

$x - 3 \: = \: 0 , x - 2 \: = \: 0$

x = 3 , x = 2

$\mathrm{Zeroes\:of\:given\:polynomial=}$ 3 and 2 .