Question

if 3 x minus 2 is a factor of 3 x cube + x square - 20 X + 12 then find other factors

Answer 1

hope it will help you

Answer 2

Answer:

Other two factors are (x-2)(x+3)

Step-by-step explanation:

Let p(x) = 3x³+x²-20x+12

Given (3x-2) is a factor of p(x) .

3x-2)3x³+x²-20x+12(x²+x-6

*****3x³-2x²

________________

******** 3x²-20x

******** 3x²-2x

____________________

*********** -18x+12

*********** -18x+12

____________________

Remainder (0)

Now ,

p(x) = (3x-2)(x²+x-6)

= (3x-2)(x²+3x-2x-6)

= (3x-2)[x(x+3)-2(x+3)]

= (3x-2)(x+3)(x-2)

Therefore,

Other two factors are (x-2)(x+3)

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