Question

find the value of p and q if x-1 ans x-2 are the factors of x² - 10x² + px + q​

Answer 1

Answer:

p=9

q=0

Step-by-step explanation:

x² - 10x² + px + q

-9x²+px+q

If x-1 is a factor so,

x-1=0

x=1

put the value of x

-9+p+q=0 ----( 1 )

Similarly,

x-2=0

x=2

put the value of x

-18+2p+q=0 ----( 2 )

Equate the equations:-

-18+2p+q= -9+p+q

-9+p=0

p=9

put the value of p in any equation:-

-9+p+q=0

-9+9+q=0

0+q=0

q=0