Question

3) What should be subtracted from 12x-2x +x+7 so that (3x + 1) is its factor? Also find its

quotient​

Answer 1

Answer:

We divide 4x

4

−2x

3

−6x

2

+x−5 by 2x

2

+x−1 as shown in the below image:

From the division, we observe that the quotient is 2x

2

−2x−1 and the remainder is −6.

Hence, −6 should be subtracted from 4x

4

−2x

3

−6x

2

+x−5 so that result is exactly divisible by 2x

2

+x−1.

Answer 2

Answer:

(3x+1) +12x-2x+x+7

3x+1+12x-2x+x+7

3x+12x-2x+x+1+7

15x-2x+x+8

13x+x+8

14x+8

check-

14x+8-12x-2x+x+7

14x-12x-2x+x+8+7

2x-2x+x+15

0+x+15

x+15

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