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5.Determine the value of 'a', if (x - a) is a factor of the polynomial x? - (a? - 1)x+2. |
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Answer» ANSWERLet functions F(X) and g(x) be polynomials such that g(x) is factor of f(x).Then the root of g(x) will be also the root of f(x).So, as per the QUESTION (x−a) is a factor of x 6 −ax 5 +x 4 −ax 3 +3x−a+2=0Root of x−a is a.Therefore a is also the root of x 6 −ax 5 +x 4 −ax 3 +3x−a+2=0.putting x=a ⇒a 6 −aa 5 +a 4 −aa 3 +3a−a+2=0⇒a 6 −a 6 +a 4 −a 4 +2a+2=0⇒2a+2=0⇒a=−1So, the value of a is −1.Step-by-step explanation:mark me as BRAINLIESTS |
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