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When you multiply polynomials what do you do with the exponents?
Add them up providing that the bases are the same.
How is adding polynomials the same as subtracting polynomials?
just add the negative of the polynomial, that is the same as subtracting it. For example, x^2+2x is a poly, the negative is -x^2-2x. So if we want to subtract x^2+2x from another poly, we can add the negative instead.
Are polynomial and trinomial the same?
A trinomial is a polynomial. All trinomials are polynomials but the opposite is not true. a trinomial= three unlike terms. a polynomial= "many" unlike terms.
What roots is correctly matched with its definition?
Ex. Homo: Same
How many roots in a radical problem if the index is odd?
An odd number. In the complex field, the number of roots is the same as the index. Complex (non-real) roots come in pairs (complex conjugates) so the number of real roots will also be odd.
Can polynomials with the same graph have different roots?
False! If the graph is exactly the same, then the x-intercepts will be the same which implies the roots are them same. However, you can have the same roots and different graphs. So while the first statement is true, the converse if not.
Can Polynomials with the same roots can have different graphs.?
If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
Is binomial and polynomials the same?
No.
What is it called when A set of equations that have the same variable?
Polynomials
What are the rules in addition of polynomials?
Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.
Can functions be added or subtracted in the same way as polynomials?
Yes, they can.
When adding polynomials what do you do to the exponents?
You keep them the same if they have different bases
How are bar graphs and circle graphs the same?
They both progression up or down
How are trends graphs and predictions related?
same-same
When you multiply polynomials what do you do with the exponents?
Add them up providing that the bases are the same.
Is adding and subtracting polynomials the same?
Addition and subtraction are inverse functions.
