1.

If x-2 is a factor of x³ - 2 ax²+ax-1, then the value of a is​

Answer»

Given that,

(X-2) is a FACTOR of x³ - 2 ax²+ax-1

  • then, (x+2) = 0
  • x = -2

Let's substitute x in x³ - 2 ax²+ax-1 and if the value of x³ - 2 ax²+ax-1 must be ALSO zero

{( - 2)}^{3} - 2 \times a \times { ( - 2)}^{2} + a \times - 2 - 1 = 0 \\ - 8 - 2 \times a \times 4 + ( - 2a) - 1 = 0 \\ - 8 - 8a - 2a- 1 = 0 \\ - 10a = 0 + 1 + 8 \\ a = - 9 \div 10

Therefore, the value of a is -9/10.

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