The degree of x is 1. Log of x is no part of a polynomial.
Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.
(x - (-3)) (x - (-5)) (x - 2), or(x + 3) (x + 5) (x - 2)You can multiply the binomials to get a polynomial of degree 3.
That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8
Yes. If and only if the coefficients of x4 are of the same magnitude and opposite sign.
Yes. Here is an example: P1 = 5x4 + 3x3; P2 = -5x4 -2
9x = 27 log(9) + log(x) = log(27) log(x) = log(27) - log(9) log(x) = log(27/9) 10log(x) = 10log(27/9) x = 27/9 x = 3 This strikes us as the method by which the federal government might solve the given equation ... after appointing commissions to study the environmental impact and recommend a method of solution, of course.
Yes, there are Chebyshev polynomials of the third and fourth kind, not just the first and second. The third kind is often denoted Vn (x) and it is Vn(x)=(1-x)1/2 (1+x)-1/2 and the domain is (-1,1) Chebychev polynomials of the fourth kind are deonted wn(x)=(1-x)-1/2 (1+x)1/2 As with other Chebychev polynomials, they are orthogonal. They are both special cases of Jacobi polynomials.
The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).
log(x6) = log(x) + log(6) = 0.7782*log(x) log(x6) = 6*log(x)
x to the power of 5 +x to the power of 4 -x-1
x times y is "xy"
(x-3)(x+8)