Arc6avenClifere Arc6avenClifere

23-02-2017
Mathematics

Answered

Determine coefficients a and b such that p(x)=x2 ax b satisfies p(1)=5 and p′(1)=11.

Verified Answer :

LammettHash LammettHash

23-02-2017

\(p(x)=x^2+ax+b\)
\(p'(x)=2x+a\)

Given that \(p'(1)=11\), you have

\(p'(1)=2+a=11\implies a=9\)

and given that \(p(1)=5\), you have

\(p(1)=1+9+b=5\implies b=-5\)

So you get

\(p(x)=x^2+9x-5\)

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