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leva [86]
3 years ago
12

What is the GCF of 120, 36

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
6 0
The GCF of 120 and 36 is 12
andrezito [222]3 years ago
4 0

12 is the great common factor in this problem.

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 36

36 = 2 × 2 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:


Therefore, GCF = 2 × 2 × 3

GCF = 12

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Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:


   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------  
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
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