Babaskhateashleyidn
Answered

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what polynomial can be added to ײ-2×+6 so that the sum is 3ײ+7×?
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Sagot :

MissyArelleeeeeidn

• Problem:

What polynomial can be added to x² - 2x + 6 so that the sum is 3x² + 7x?

• Solution:

To get the other added, you just need to subtract x² - 2x + 6 from 3x² + 7x.

  • Expand the expression.
  • Change the signs of the terms on the right side of the operation of subtraction.
  • Simplify.

[tex] \large \boxed{\begin{array}{} \tt (3x²+7x ) -( x {}^{2} - 2x + 6 ) \\ \tt 3 {x}^{2} + 7x - x {}^{2} + 2x - 6 \\ \purple{ \tt 2x {}^{2} + 9x - 6} \end{array}}[/tex]

Try to check the answer by adding it from x² -2x + 6.

[tex] \large \boxed{\begin{array}{} \tt( x {}^{2} - 2x + 6 ) +(2x {}^{2} + 9x - 6) \\ \tt x {}^{2} - 2x + \cancel6 +2x {}^{2} + 9x - \cancel{ 6 }\\ \blue{\tt 3x {}^{2} + 7x }\end{array}}[/tex]

Thus, the answer is correct.

• Answer:

Polynomial 2x² + 9x - 6 can be added to x² - 2x + 6 so that the sum is 3x² + 7x.

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