Chapter 11: Q. 35 (page 1069)

In the following exercises, add the polynomials.
$(x^{2} + 6 x + 8) + (- 4 x^{2} + 11 x - 9)$

Short Answer

Expert verified

The sum of the polynomials is $- 3 x^{2} + 17 x - 1$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (x^{2} + 6 x + 8) + (- 4 x^{2} + 11 x - 9) \\ Wehavetoaddthepolynomials. \end{array}$

Step 2. Add the polynomials

$\begin{array}{l} \Rightarrow (x^{2} + 6 x + 8) + (- 4 x^{2} + 11 x - 9) \\ = x^{2} + 6 x + 8 - 4 x^{2} + 11 x - 9 [Rewritewithouttheparenthese] \\ = x^{2} - 4 x^{2} + 6 x + 11 x + 8 - 9 [Combinetheliketerms] \\ = (1 - 4) x^{2} + (6 + 11) x - 1 \\ = - 3 x^{2} + 17 x - 1 \end{array}$

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In the following exercises, add the polynomials.
$(x^{2} + 6 x + 8) + (- 4 x^{2} + 11 x - 9)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Add the polynomials

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In the following exercises, add the polynomials.x2+6x+8+-4x2+11x-9

Short Answer

Step by step solution

Step 1. Given information

Step 2. Add the polynomials

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, add the polynomials.
$(x^{2} + 6 x + 8) + (- 4 x^{2} + 11 x - 9)$