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37 votes
37 votes
Factor the expression 20x + 12y - 28

User Ingus
by
2.8k points

2 Answers

13 votes
13 votes

hello!


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In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)

In this case, the common term is

4

Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)

So here, the G.C.F. is 4.

Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.

So divide all the terms

5x

3y

-7

Put 4 outside the parentheses:

4(5x+3y-7)

Is the trinomial in its simplest form? Sure!

Hence, we are done! :)


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note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)

User PRiera
by
2.9k points
20 votes
20 votes

Answer:


\boxed{\sf{4(5x+3y-7)}}

Explanation:

It is necessary to find the factors and solve them using their expressions in order to solve this problem.

20x+12y-28

7*4=28

3*4=12

5*4=20

Rewrite the problem down.

5*4x+3*4y+7*4

Solve.

Common term of 4.

4(5x+3y-7)

  • Therefore, the final answer is 4(5x+3y-7).

I hope this helps you! Let me know if my answer is wrong or not.

User Moritzpflaum
by
3.1k points