2x³-2ax²-6x+6a is a multiple of x-a
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Given equation :-p(x)=2x³ - 2ax² - 6x + 6a
x - a is factor of p ( x )
x - a = 0
x = a
When we put the value of x as a in p ( x ) we get Zero as resultant.
2x³ - 2ax² - 6x + 6a
2a³ - 2a × a² - 6a + 6a
2a³ - 2a³ - 6a + 6a
= 0
Hence verified that p ( x ) is the multiple of x - a
Given equation :-p(x)=2x³ - 2ax² - 6x + 6a
x - a is factor of p ( x )
x - a = 0
x = a
When we put the value of x as a in p ( x ) we get Zero as resultant.
2x³ - 2ax² - 6x + 6a
2a³ - 2a × a² - 6a + 6a
2a³ - 2a³ - 6a + 6a
= 0
Hence verified that p ( x ) is the multiple of x - a
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