Question

find the value of a if x – a is a factor of 2x3 – 2ax2 +5x + a + 6

Answer 1

Answer:

$x - a = 0 \\ x = a \\ substituting \: the \: value \: of \: a \: in \: x \:$

$2x {}^{3} - 2ax {}^{2} + 5x + a + 6 \\ 2(a) {}^{3} - 2a(a) {}^{2} + 5(a) + a + 6 \\ 2a {}^{3 } - 2a { }^{3} + 5a + a + 6$

$2a {}^{3} - 2a {}^{3} \: gets \: cancelled \\6a + 6 = 0 \\ 6a = - 6 \\ a = \frac{ - 6}{6} \\ cancelling \: - 6 \: and \: 6.......we \: get \: - 1. \\ a \: = - 1$

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