Question

write a first degree polynomial Q(x) where Q(1)=1 and Q(2)=5​

Answer 1

${ \green{ \bold{ \underline{ANSWER :}}}}$

${ \pink{ \bold{assume \: \: a \: \: polynominal - }}} \\ \\ { \pink{ \bold{Q(x) = ax + b}}} \\ \\ { \pink{ \bold{put \: \: x = 1}}} \\ \\ { \pink{ \bold{Q(1) = a + b = 1\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ........(1)}}} \\ \\ { \pink{ \bold{put \: \: x = 2}}} \\ \\ { \pink{ \bold{Q(2) = 2a + b = 5 \: \: \: \: \: \: \: \: \: \: \: \: .........(2)}}} \\ \\ { \pink{ \bold{by \: \: equation \: \: (1) \: \: \: and \: \: \: (2) \: - }}} \\ \\ { \pink{ \bold{a = 4 \: , \: b = - 3}}}$