There is no specific term for such polynomials. They may be referred to as are polynomials with only purely complex roots.
A single number does not have a common factor. Common factors are factors that two or more numbers have in common. The greatest common factor of a pair of numbers over 50 could be any number, depending on the pair of numbers. The greatest common factor of 51 and 100 is 1. The greatest common factor of 51, 52, 53, 54, 55, and 56 is 1. The greatest common factor of 52 and 100 is 2. The greatest common factor of 57 and 102 is 3.
Their highest common factor is 5. Dividing both numbers by that, we get 53 over 200.
The prime factorization of the number at the top
You find their highest common factor, which is 8. Then divide both numbers by 8. That gives 14 over 19.
The numbers are the same as positive numbers, just the signs change. Write out the factor pairs as if the number were positive, but make one of the numbers positive and one negative. Now write the same pairs over again and reverse the signs. Negative numbers have twice as many factor pairs as positive numbers do.
You want to factor (x4 -91) First notice that the factors of 91 are 1, 7, 13, and 91. If we try them all , we see that x4 -91 is a prime polynomial. Even though the polynomial is prime, that is cannot be factored over the set of rational numbers, it is factorable over the set of irrational numbers. x4 - 91 = (x2)2 - (√91)2 = (x2 - √91)(x2 + √91) = [x2 - (√√91)2](x2 + √91) = (x - √√91)(x + √√91)(x2 + √91)
To factor the polynomial 2x^2 + 16, we first look for a common factor. In this case, both terms are divisible by 2, so we can factor out a 2 to get 2(x^2 + 8). Next, we check if the remaining quadratic expression x^2 + 8 can be factored further. Since x^2 + 8 cannot be factored further over the real numbers, the factored form of the polynomial is 2(x^2 + 8).
No. A polynomial has positive powers of the variable.
You look for a common factor between the two numbers; then you divide both numbers by this factor.
The 'mean'.Also often referred to as the 'average'.
Yes, these numbers have no common factor.
By looking for common factors (numbers that are factors of both numbers), and dividing both numbers by this common factor.
Nope - because there is no common factor to both numbers.
In the general case, this is quite tricky. In high school, you learn some simple cases. If the polynomial is of degree 2, you can use the quadratic function. For higher degrees, in some specific cases you can use the methods taught in high school to factor the polynomial. As you might know, once the polynomial is completely factored, it is quite trivial to find the zeros. But in the general case, you need some iterative method, which is more appropriate for a computer. From Wikipedia, article "Polynomial": "Numerical approximations of roots of polynomial equations in one unknown is easily done on a computer by the Jenkins-Traub method, Laguerre's method, Durand-Kerner method or by some other root-finding algorithm." You can read about any of these methods for more information; but don't expect a formula where you just "plug in some numbers"; rather, those are iterative methods, that is, you need to repeat a certain calculation over and over until you get a root of a polynomial with the desired accuracy.
A single number does not have a common factor. Common factors are factors that two or more numbers have in common. The greatest common factor of a pair of numbers over 50 could be any number, depending on the pair of numbers. The greatest common factor of 51 and 100 is 1. The greatest common factor of 51, 52, 53, 54, 55, and 56 is 1. The greatest common factor of 52 and 100 is 2. The greatest common factor of 57 and 102 is 3.
Yes it can. Divide both numbers by their greatest common factor.
The GCF of those two numbers is 4.