Math, asked by bhaveshjakhar9028, 10 months ago

If ( x- 2) is a factor of x3 - 3x+5a than what is the value of a is

Answers

Answered by mysticd

$Let \: p(x) = x^{3} -3x + 5a$

$If \: (x-2) \:is \: a \:factor \: of \: p(x) \: then \\p(2) = 0$

$\implies 2^{3} - 3 \times 2 + 5a = 0$

$\implies 8 - 6 + 5a = 0$

$\implies 2 + 5a = 0$

$\implies 5a = -2$

$\implies a = \frac{-2}{5}$

Therefore.,

$\red { Value \:of \: a } \green{=\frac{-2}{5} }$

•••♪

Answered by Anonymous

$\huge{\red{\underline{\textsf{Answer}}}}$

$<html><head><bodybgcolor="cyan"><font size="5" color="black"><b>2/5 is the answer.</html></head></body></font></b>$

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