Question

X^2-px+12=(x-3 )(x-a) then find the value of a and p​

Answer 1

ANSWER :–

GIVEN :–

=》 x² - px + 12 = (x-3)(x-a)

${ \bold{ \implies \: {x}^{2} - px + 12 = (x - 3)(x - a) }} \\ \\ { \bold{ \implies \: {x}^{2} - px + 12 = {x}^{2} - 3x - ax + 3a }} \\ \\ { \bold{ \implies \: {x}^{2} - px + 12 = {x}^{2} - (3 + a)x + 3a }} \\ \\ { \bold{ \: \: \: \: . \: \: \: now \: \: compare - }} \\ \\ { \bold{ \implies \: 3a = 12 \: \: \: \: \: \: \: \: \: \: .......(1)}} \\ \\ { \bold{ \implies \: 3 + a = p \: \: \: \: \: \: \: .......(2)}} \\ \\ { \bold{ \: \: \: by \: \: equation \: \: (1) \: \: - }} \\ \\ { \bold{ \implies \: { \boxed{a = 4}}}} \\ \\ { \bold{ \: \: \: by \: \: equation \: \: (2) \: - }} \\ \\ { \bold{ \implies \: 3 + 4 = p}} \\ \\ { \bold{ \implies \:{ \boxed{b = 7}}} }$

Answer 2

Answer:

p=7

Step-by-step explanation:

a=??