How do you solve common monomial factor?

Answer 1

(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)

Answer 2

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

Answer 3

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)

Answer 4

• 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.

Answer 5

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!

Answer 6

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).

Answer 7

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.

Answer 8

5x-45 = 5(x - 9)

Answer 9

add the equal sides