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Chapter 6: Q 6.25TI (page 578)

Factorx2-7xy-10y2

Short Answer

Expert verified

The factored form is(x-5y)(x-2y)

Step by step solution

01

Given information

Given the polynomialx2-7xy-10y2

02

Create the factor table

The table is

Factors of-10Sum of factors
1,-12
1-12=-11
2,-6
2-6=-4
-2,-5
-2-5=-7
03

Use m,n as last terms of factors and form the factored polynomial

Here,

m,n=-2,-5m+n=-7m脳n=10

04

Substitute the values to form the factored form

The factored form is(x-5y)(x-2y)

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