Question

value of p which (x^2-10x+p) is exactly divisible by (x-2)​

Answer 1

Answer:

x

3

−10x

2

+ax+b=f(x)

if f(x) is divisible by (x−1) and (x−2)

⇒f(1)=0=f(2)

f(1)=1−10+a+b=0⇒a+b=9

f(2)=8−40+2a+b=0⇒2a+b=32

∴a=23 b=−14

Answer 2

Step-by-step explanation:

Answer

x

3

−10x

2

+ax+b=f(x)

if f(x) is divisible by (x−1) and (x−2)

⇒f(1)=0=f(2)

f(1)=1−10+a+b=0⇒a+b=9

f(2)=8−40+2a+b=0⇒2a+b=32

∴a=23 b=−14