Math, asked by vyasvarad34, 1 year ago

what must be subtracted from polynomial x power 4 + 14 x cube minus 2 X square + 7 x minus 8 so that the resulting polynomial is exactly divisible by 4 x square + 3 x minus 2​

Answers

Answered by knjroopa
1

Step-by-step explanation:

Given What must be subtracted from polynomial 8 x power 4 + 14 x cube minus 2 X square + 7 x minus 8 so that the resulting polynomial is exactly divisible by 4 x square + 3 x minus 2

So we need to divide the given expression.

   4 x^2 + 3x – 2 ) 8 x^4 + 14 x^3 – 2 x^2 + 7 x – 8 (2 x^2 + 2 x – 1

                             8 x^4 +  6 x^3 -  4 x^2

                    ------------------------------------------------------------

                                           8 x^3 + 2 x^2 + 7 x

                                           8 x^3 + 6 x^2 -  4 x

                                    -----------------------------------------------

                                                      -4 x^2 + 11 x – 8

                                                       -4 x^2 – 3 x + 2

                                             ------------------------------------------

                                                                      14 x – 10

So 14 x – 10 should be subtracted so that the polynomial is exactly divisible by 4 x^2 + 3 x - 2

Answered by 790sudha
3

Answer:

14x-10................▶️▶️▶️

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