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Chapter 11: Q 6.23TI (page 1069)

Factora2-11ab+10b2

Short Answer

Expert verified

The factored form is(a-10b)(a-b)

Step by step solution

01

Given information

Given the polynomial ,a2-11ab+10b2

02

Create the factor table

The table is

Factors of10Sum of factors
1,10
1+10=11
2,5
2+5=7
-1,-10
-1-10=-11
03

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

Here,

m,n=-1,-10m+n=-11mn=10

04

Substitute the values to get the factored form

The factored form is(a-10b)(a-b)

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