Chapter 5: Q. 5.7 (page 491)

$Find the sum: (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3)$

Short Answer

Expert verified

The sum of the polynomials is $8 x^{2} - 11 x + 8$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialexpressionis \\ (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3) \\ Wehavetofindthesum \end{array}$

Step 2. Identify the like terms and rewrite the expression

$\begin{array}{l} Wehave (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3) \\ Rewritewithouttheparentheses,rearrangingtogettheliketermstogether \\ \Rightarrow (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3) = 7 x^{2} + x^{2} - 4 x - 7 x + 3 + 5 \end{array}$

Step 3. Operate the like terms

$\begin{array}{l} \Rightarrow (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3) = 7 x^{2} + x^{2} - 4 x - 7 x + 3 + 5 \\ = (7 + 1) x^{2} - (4 + 7) x + 8 \\ = 8 x^{2} - 11 x + 8 \end{array}$

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$Find the sum: (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the like terms and rewrite the expression

Step 3. Operate the like terms

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Find the sum:7x2-4x+5+x2-7x+3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the like terms and rewrite the expression

Step 3. Operate the like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Pure Maths

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

$Find the sum: (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3)$