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Chapter 4: Q. 2 (page 224)

What are the quotient and remainder when 3x4-x2is divided by x3-x2+1?

Short Answer

Expert verified

The quotient of dividing 3x4-x2by x3-x2+1is3x+3and remainder2x2+3x-3

Step by step solution

01

Step 1. Given data

The dividend is 3x4-x2

The divisor isx3-x2+1

02

Step 2. use the long division method

Divide3x4-x2byx3-x2+1

x3-x2+13x+33x4+(0)x3-x2+(0)x+03x4-3x3+0+3x+003x3-x2+3x+03x3-3x2+0+302x2+3x-3

further division is not possible

so quotient is 3x+3

remainder2x2+3x-3

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Most popular questions from this chapter

Graph each rational function using transformations.

F(x)=2-1x+1

Analyze each polynomial function using Steps 1through 8:

f(x)=x4+x3-3x2-x+2.

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Part (b): Graph C=Cr. For what value of r is the cost C a minimum?

Find the domain of the rational function.

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