Apply factor theorem and find out if 3x-2 is a factor of 3x³+x²-20x+12.
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nitthesh7:
sis it is not 20 it is 20 x pls change it
oh sorry I edit my answer
thanks for telling
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Using factor theorem,
3 x-2 = 0 ⇒ x = 2/3
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Then,
p(x) = 3 x³ + x² - 20 x + 12
p(2/3) = 3(2/3)³ + (2/3)² - 20(2/3) + 12
= 8/9 + 4/9 - 40/3 + 12
= 8/9 + 4/9 - 120/9 + 108/9
= 0
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Hence 3 x - 2 is a factor of 3 x³ + x² - 20 x + 12.
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☺☺☺ Hope this Helps ☺☺☺
3 x-2 = 0 ⇒ x = 2/3
__________________________________________________________
Then,
p(x) = 3 x³ + x² - 20 x + 12
p(2/3) = 3(2/3)³ + (2/3)² - 20(2/3) + 12
= 8/9 + 4/9 - 40/3 + 12
= 8/9 + 4/9 - 120/9 + 108/9
= 0
__________________________________________________________
Hence 3 x - 2 is a factor of 3 x³ + x² - 20 x + 12.
__________________________________________________________
☺☺☺ Hope this Helps ☺☺☺
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