Choose a number between 61 and 107 that is a multiple of 3 , 9 and 12

1 answer:

8 0

Let us simply find the least common multiple of 3, 9, and 12.

3 / 3 9 12
3 / 1 3 4
4 / 1 1 4
/ 1 1 1

LCM = 3 * 3 * 4 = 36

Let us multiply 36 by 2 = 36*2 = 72

So 72 is a multiple of 3, 9 and 12 and it is in between 61 and 107.

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2 years ago

Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p

sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>

It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format $\frac{p}{q}$ .

In this problem:

The leading coefficient is 1, hence it's only factor is $q = 1$ , thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.