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Chapter 7: Q39. (page 461)

Find the given sum.

4x鈭�3x2+5+2x2鈭�5x+1

Short Answer

Expert verified

The final answer is 鈭�x2鈭�x+6.

Step by step solution

01

Step 1. Define standard form of a polynomial.

The standard form of a polynomial means, writing the polynomial in descending powers of the variable.

02

Step 2. Define like and unlike terms.

In algebra, like terms are the terms that have the same variables and powers.

The unlike terms are two or more terms that are not like terms.

03

Step 3. Find the sum, 4x−3x2+5+2x2−5x+1.

Simplify the given sum by combining the like terms.

4x鈭�3x2+5+2x2鈭�5x+1=4x鈭�3x2+5+2x2鈭�5x+1=鈭�3x2+2x2+4x鈭�5x+5+1=鈭�x2鈭�x+6

Therefore the final answer is 鈭�x2鈭�x+6.

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Most popular questions from this chapter

Simplify the expression

鈭�2f2g3h23

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

15

Simplify the expression

3222

The formula for the surface area of a cube isSA=6s2where SAis the surface area and s is the length of any side.

a. Express the surface area of the cube as a monomial.

b. What is the surface area of the cube if a=3and b=4?

Simplify the expression

鈭�3p5t64
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