Question

what should be subtracted from 3x⁴-2x³+3x²-2x+3,so that the resulting polynomial is exactly divisible by (3x+2)?​

Answer 1

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

−2x

3

+3x

2

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,

27

185

should be subtracted from 3x

4

−2x

3

+3x

2

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.

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