Question

He has is trying to factor 10x^2+5x. she found that the greatest common factor of these terms was 5x and made an area model:

Answer 1

Answer:

Rdtfyguhomm hvugugubigug

Step-by-step explanation:

answer the answer for the

Answer 2

Answer:

The width of the area model is equal to

(2x^2-x+3)\ units(2x

2

−x+3) units

Step-by-step explanation:

we know that

The area of a rectangular model is given by the formula

A=LWA=LW ----> equation A

where

L is the length

W is the width

we have

A=10x^2-5x+15A=10x

2

−5x+15

Factor the expression

A=5(2x^2-x+3)A=5(2x

2

−x+3)

substitute the value of the Area in the equation A

5(2x^2-x+3)=LW5(2x

2

−x+3)=LW

In this problem

The greatest common factor of these terms is the length (L=5 units)

so

we can say that the width is equal to (2x^2-x+3)

therefore

The width of the area model is equal to

(2x^2-x+3)\ units(2x

2

−x+3) units

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