Question

If ( x-2) is a factor of p(x) = x^3 - 2ax^2 + ax - 1, then the value of a is .............. *
1 point
A. 0
B. -7/6
C. 7/6
D. 6/7

Answer 1

Answer:

Option C

Step-by-step explanation:

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Answer 2

$\huge\fcolorbox{red}{cyan}{Option\:C\::\:7/6}$

Step-by-step explanation:

• f(x) = x³-2ax²+ax-1

• g(x) = x - 2

First Leta Calculate The Zero of x - 2

=>x - 2 = 0

=>x = 2

Since g(x) is a factor of f(x) ,

Therefore by Remainder Theoram :-

$f(x) = 0 \\ =>(2)³-(2 \times 2²) + (2 \times a) - 1 = 0 \\ => 8 - 8a + 2a - 1 \\ => 7-6a = 0 \\ =>-6a = -7 \\ => a = \frac{-7}{-6} \\ =>\boxed{\frac{7}{6}}$

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