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(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2.

(x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3.

(x + 1) is a common monomial factor of the polynomials (x2 + 3x + 2) and (x2 + 4x + 3)

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10y ago
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9y ago

Let's try one.

30x2y3z4 + 42x4y5z2

Do the numbers first.

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6

For the variables, select the lowest exponent.

The GCF of the above expression is 6x2y3z2

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11y ago

Look at the coefficients, find their GCF.

Multiply this by the common variables raised to the smallest exponent.

EX: 15x4yz and 25x2y4

look at 15 and 25 --- GCF is 5

common variables x and y

smallest exp for x is 2 and the smallest for y is 1

So the GCF is 5x2y

(z is not a common factor so it is not included)

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11y ago
  • 1

    Determine how to factor a number. Factor out a number that is given, such as 24. To factor 24, find two multiples or numbers that, when multiplied, equal 24.

  • 2

    Use numbers 6 and 4. By multiplying these two numbers, you will get 24. Then factor out the 6 by finding two multiples that equal 6. Let's use 2 and 3. Then find multiples of 4 with 2 and 2. In the end, you will have factored 24 with multiples of 6 (2, 3) and 4 (2, 2).

  • 3

    Find the common factor. In this example, the common factor between both sets of multiples (6 and 4) is 2. Given the example of 24, the monomials are 2, 2, 2, and 3. This can also be listed as 2*2*2*3 or as 3*2^3.

  • 4

    Factor an expression using letters. If you have a number followed by x^2, then the x should be factored out twice and look like x*x.

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9y ago

It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers or expressions. A monomial is only a single expression!

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11y ago

When the monomial divides into the polynomial without remainder.

It can be shown that if f(x) is a polynomial in x, and f(a) = 0 then (x-a) is a factor of f(x).

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7y ago

Monomials have factors. Some monomials have some of the same factors as other monomials. These are known as common factors. The largest of these is the greatest common factor, or GCF.

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11y ago

5x-45 = 5(x - 9)

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11y ago

add the equal sides

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Q: How do you solve common monomial factor?
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What is the greatest common factor and monomial of 42 and 60?

It is 6


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What is a common monomial factor?

(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3


What is the greatest common monomial factor 3x3y3 plus 21x3y2z?

The GCF is 3x3y2.


What is the answer to 6x plus 3 using greatest common monomial factor?

3(2x + 1)


How do you solve 4(12) 4(8) in factoring the greatest common monomial factor?

4 x 12 + 4 x 8 = 4 x (12 + 8) = 4 x 20 = 80


What are the steps in finding the common monomial factor?

It is similar to finding the greatest common factor only you may have variables involved, so you may factor a constant and variable(s) which all terms are divisible by, for example: The common monomial factor in the following: 5x^2+5x would be 5x because both terms are divisible by 5 and x. 5x (x+1). Just find the constant and variable all terms are divisible by and then the product of those is your common monomial factor.


What is the meaning of GCF of monomial?

gcf is Greatest Common Factor. It means what is the largest value that can go into what you are factoring.