Question

What must be added to 2x² - 3x - 8 to get 3x² + x + 6




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Answer 1

Step-by-step explanation:

ANSWER

Let us divide 3x

3

+x

2

−22x+9 by 3x

2

+7x−6 by long division method as shown in the above image.

Therefore, the the remainder is −2x−3 that is −(2x+3)

Hence, −(2x+3) must be subtracted from 3x

3

+x

2

−22x+9 that is (2x+3) must be added to 3x

3

+x

2

−22x+9 so that the resulting polynomial is exactly divisible by 3x

2

+7x−6.

Answer 2

Answer:

${3x}^{2} + x + 6 - ( {2x}^{2} - 3x - 8 ) \\ \\ {3x}^{2} + x + 6 - {2x}^{2} + 3x + 8 \\ \\ {3x}^{2} - {2x}^{2} + x + 3x + 6 + 8 \\ \\ {x}^{2} + 4x + 14 \\ \\ hence \: \: your \: \: answer \: \: is \: \: {x}^{2} + 4x + 14$

hope it helps you......