Math, asked by aninditaroy956, 4 months ago

find the values of a and b so that the polynomial x³-10x²+ax+b is exactly divisible by (x-2) and (x-3)?​

Answers

Answered by srirammeghana
4

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

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