Question

What must be added to 7x2 - 4x +5 to get 7x2 + 5x -5 ?​

Answer 1

Answer:

+9x-10

This is because 7x2 + 5x -5 - (7x2 - 4x +5) = +9x-10

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Answer 2

Answer:

9x - 10 to be added to  7x² - 4x +5 to get 7x² + 5x -5

Step-by-step explanation:

To find,

The polynomial to be added to 7x² - 4x +5 to get 7x² + 5x -5

Solution:

Let p(x) be the required polynomial

Then as per the given condition we have

7x² - 4x +5 + p(x) = 7x² + 5x -5

p(x) = 7x² + 5x -5 - (7x² - 4x +5 )

p(x) = 7x² + 5x -5 - 7x² + 4x -5

Combining the like terms,

(7x² - 7x²) +(5x - 4x) +(-5 -5)

= 0x² + 9x -10

p(x)= 9x - 10

∴ 9x - 10 to be added to  7x² - 4x +5 to get 7x² + 5x -5

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