Question

find the cube of the following 3 by x minus 2 by x square​

Answer 1

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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