Chapter 8, Problem 11MCQ

To determine

To find the sum or difference.

Answer to Problem 11MCQ

  $2x^2+4x-3$

Explanation of Solution

Given:

Expression: $(x+4)+(3x+2x^2-7)$

Concept used:

To find the sum or difference of polynomial,

1. Write the polynomial in standard form.
2. Rearrange the like terms together and add or subtract.

Calculation:

Applying the above concept,

Write the given expression is in a standard form.

  $\begin{array}{l}\Rightarrow (x+4)+(3x+2x^2-7)\\ \Rightarrow (x+4)+(2x^2+3x-7)\end{array}$

So, Rearrange the like terms and add.

  $\begin{array}{l}\Rightarrow (x+4)+(2x^2+3x-7)\\ \Rightarrow 2x^2+3x+x+(4-7)\\ \Rightarrow 2x^2+4x-3\end{array}$

Conclusion:

Therefore, the sum is $2x^2+4x-3.$