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Chapter 6: Q. 276 (page 613)

Create three factoring problems that would be good test questions to measure your knowledge of factoring. Show the solutions.

Short Answer

Expert verified

The factoring problems are

x2-6x+5=016x2=25x2-5xy+6y=0

Step by step solution

01

Given information

Given the three polynomials

02

Write the polynomial and calculate the solution

The polynomial is,x2-6x+5=0, calculating using factorisation method, we get

x2-5x-x+5=0x(x-5)-1(x-5)=0(x-1)(x-5)=0x=1,5

03

Check for another polynomial

The polynomial is, 16x2=25using zero factor principle, we have

16x2=2516x2-25=0(4x-5)(4x+5)=0x=54,-54

04

Check for another polynomial

The polynomial is x2-5xy+6y=0so using the splitting method, we have

x2-3xy-2xy+6y=0x(x-3y)-2y(x-3y)=0(x-2y)(x-3y)=0x=2y,3y

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Most popular questions from this chapter

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