A polynomial is any number of the form Ax^n + Bx^n-1 + ... + c. So, multiplying numbers with exponents with any other numbers with exponents in polynomials only results in another, larger polynomial. Since this is multiplication, you could call the resultant polynomial a product.
0.0496, of course move decimal place 2 places to left; that is what this statement means.
Not into rational factors.
In algebra polynomials are the equations which can have any number of higher power. Quadratic equations are a type of Polynomials having 2 as the highest power.
Polynomials with two terms are called "binomials." A binomial consists of two monomial terms separated by either a plus or minus sign. For example, expressions like (3x + 5) or (2y^2 - 4) are both binomials.
10
yes
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.
No. Even if the answer is zero, zero is still a polynomial.
True. Polynomials can have the same graph if they differ only by a constant factor. For example, the polynomials ( f(x) = x^2 - 1 ) and ( g(x) = 2(x^2 - 1) ) have the same graph, but their roots are the same. However, different polynomials can share the same graph at certain intervals or under specific transformations, leading to the possibility of having different roots.
(3k - 2)(3k - 2) or (3k - 2)2
To add polynomials, align the like terms, which are terms that have the same variable raised to the same power. Then, simply combine the coefficients of these like terms. For example, in the polynomials (3x^2 + 2x + 1) and (4x^2 + 3), you would add (3x^2 + 4x^2) to get (7x^2) and combine the constant terms (1 + 3) to get (4), resulting in (7x^2 + 2x + 4).
The GCF is 7y^2