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Factor9m+m2+18

Short Answer

Expert verified

The factored form is(m+3)(m+6)

Step by step solution

01

Given information

Given polynomial9m+m2+18

02

Arranging in decreasing order

The polynomial in decreasing order ism2+9m+18

03

Writing as parentheses  

The polynomial can be written as(m)(m). The table is

Factors of18Sum of factors
1,18
1+18=19
2,9
2+9=11
3,6
3+6=9
04

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

Here

m,n=3,6m+n=9m×n=18

05

Substitute the values and form the factored form

The factored form is(x+3)(x+6)

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