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Chapter 6: Q 6.18 TI (page 575)

Factort2+14t+24

Short Answer

Expert verified

The factored form is(t+12)(t+2)

Step by step solution

01

Given information

Given the polynomialt2+14t+24

02

Writing as parentheses

The polynomial can be written as (t)(t). Now creating the table

Factors of24Sum of factors
1,24
1+24=25
2,122+12=14
3,8
3+8=11
03

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

Here,

m,n=12,2m+n=12+2m+n=14m脳n=12脳2m脳n=24

04

Substitute the values and form the polynomial

The polynomial is(t+12)(t+2)

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