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Chapter 7: Q32. (page 461)

Write the given polynomial in standard form.

x+2+3x2

Short Answer

Expert verified

The given expression can be best described as 3x2+x+2.

Step by step solution

01

Step 1. Define a polynomial.

A polynomial is defined as an expression which is composed of variables, constants and non-negative exponents that are combined by using mathematical operations.

02

Step 2. Define the meaning of standard form of a polynomial.

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

03

Step 3. Write the polynomial, x+2+3x2 in standard form

Observe the polynomial, x+2+3x2.

Terms of the polynomial arex,鈥夆赌�2 and 3x2.

The term having highest power of xis 3x2.

Arrange the terms of the polynomial in descending power of x.

That is equal to 3x2+x+2.

This is the required standard form of the polynomial.

Therefore the standard form of the polynomial is 3x2+x+2.

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Most popular questions from this chapter

Simplify the expression

鈭�2f2g3h23

Find each product.

x鈭�3x2+5x鈭�6

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

ax鈭�3

PACKAGING For a commercial art class, Aiko must design a new container for individually wrapped pieces of candy. The shape that she chose is a cylinder. The formula for the volume of a cylinder is V=蟺r2h.

a. The radius that Aiko would like to use is 2p3, and the height is 4p3. Write a monomial that represents the volume of her container.

b. Make a table of values for five possible radius widths and heights if the volume is to remain the same.

c. What is the volume of Aiko鈥檚 container if the height is doubled?

Simplify each expression.

2x23x33
See all solutions

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