The value of (a+b)x(a - b) is
chapter name :- Vectors
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Answer:
Consider given the expression,
⇒x3−ax+b and x−1,x−2 are the factor of this polynomial,
Given that, x−1=0 is the factor of x3−ax+b
So, x=1 will be satisfied to x3−ax+b
Hence,
13−a.1+b=0
−a+b=−1
a−b=1 ……(1)
Given that, x−2=0 is the factor of x3−ax+b
So, x=2 will be satisfied to x3−ax+b
23−a.2+b=0
−2a+b=−2
2a−b=2 ……(2)
Subtract equation 1st from equation 2nd,
a=1
put the value of a in equation 1st,
b=0
Hence, this is the answer.
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