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Makovka662 [10]
3 years ago
9

What dose lowest terms mean

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0
That's the description of a fraction when the numerator and denominator
don't have any common factor except '1' .
Reil [10]3 years ago
7 0
Lowest terms basically means that the fraction/ mixed number is in simplest form. Which means it can't be divided by anything to get a lower number for both the numerator and denominator because they don't have anymore factors that they share. For example, if I wanted to simplify the fraction, 4/8. I would divide by 4 on both the top and bottom since that is their greatest common factor.
4 ➗ 4=1
8 ➗4=2
1/2 would be the "lowest terms" of 4/8 since 1 and 2 don't have any common factors except 1.
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Step-by-step explanation:

When we divide polynomials by polynomials with more than one term, we use long division or factorization to simplify.

This polynomial isn't easily divided after factorization so we will use long division. And we will use the remainder theorem to write any remainder.

\frac{(6x^2+36x+35)}{(x+5)}

We start long division by finding what multiplies with x+5 to get  6x^2+36x. This is 6x.

So 6x(x+5)=6x^2+30x. We have 6x left as a remainder from 36x.

We now divide x+5 into 6x+35. What multiplies with x+5 to get 6x+35? 6.

So we have 6x+6 as our answer so far and after we multiply 6(x+5)=6x+30 we will have a final remainder of 5.

We write our answer as 6x+6+\frac{5}{x+5}.


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