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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What square number is an odd number is less than 50 and greater than 20.4 is it factor?
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What is a square number is less then ten odd and is greater than fifty?

9 is an odd square number less than 10 and 92 = 81 which is greater than 50


What number is a square number but not a prime number and is less than 100?

No square number is a prime number, since it has the number you squared as a factor. There are several square numbers less than 100. Just calculate the squares of all numbers, starting with 1, until you reach or pass 100. Then stop.


Why the factors of a number which is not a perfect square or a prime one should be less than the square root of the number and the other factor should be greater than square root of number?

The square root of the number acts sort of like the 'multiplicative middle' of the number. When you multiple the square root by itself, you get back to original number. When you search for factors of the number (easier to see when thinking of real numbers) it's intuitive that you must have one number on either side of this 'multiplicative middle'


How many perfect square numbers are less than 1694 and greater than 5929?

There are 41 square numbers less than 1694 and an infinite number greater than 5929. There are 35 square numbers between 1694 and 5929, 36 if you count 5929 itself.


Why do we test only the prime numbers less than the square root of the given number?

First, you do not. You must also test the square root of the given number. So the question should be in terms of "less than or equal to". Suppose you wish to test the number n and suppose s is the square root of n. Then s*s = n Now suppose p is factor of n, with factor pair q. so that n = p*q and, without loss of generality, assume that p ≤ q. Thus p*q = s*s so that p ≤ s ≤ q That is to say, one of the pair of factors of n will be less or equal to its square root while the other member of the factor pair will be greater or equal to the square root.

Related questions

Why composite number which has perfect square root doesn't have factor less and greater then square root?

Actually it can, if it's not the square of a prime number. For example, 144 is the square of 12; but you can also factor it as 6 x 24.


Is there a prime factor greater than the square root of an integer?

No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.


What square number is greater than 100?

The square of any number greater than 10 (or less than -10) will be greater than 100.


Is the square root of a number greater than the square of the number?

Yes, if the number is less than '1'.Just the opposite, if the number is greater than '1'.


What is a square number is less then ten odd and is greater than fifty?

9 is an odd square number less than 10 and 92 = 81 which is greater than 50


When is a square root less than the number?

when the number is greater than 1


Can The square root of a number be greater than that number?

Yes, if the number is less than 1


What number is greater than 500 less than 1000 and its square root is a square number?

a square number is a number that you multiply the same number like:8.8 = 64 get it


What 2 digit number is a square number less than 42 but greater than 29?

2 digit number which is square number less than 42 but greater than 29 = 36square numbers are 2, 9, 16, 25, 36, 49,...


You are thinking of a 2-digit odd number less than a 100 it is a prime number that is 6 more than a square number and 13 less than another square number what are you?

87 is the only 2-digit number that is 6 greater and 13 less than a square, but it is not prime.


Im a two digit number in a square number is greater than 29 and less than 42?

36


Which number is greater than the square root of 3 and less than 1.9?

9/5

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