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What does polynomials mean in mathematical terms?
It means the sum of several monomials.
Are all polynomials either even or odd?
No. Polynomials are made up of several terms. The terms can be even or odd (assuming they aren't variables, in which case, you don't know if they're even or odd), but the polynomial itself isn't one or the other.
How does Factoring undoes the distributive property?
when you distribute something you are adding one or more term to the other seval term so when you factor it does the opposite. Instead of giving , factoring removes one or more terms from the other several terms.
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.
How is multiplying polynomials different from adding them?
When you add polynomials, you combine only like terms together. For example, (x^3+x^2)+(2x^2+x)= x^3+(1+2)x^2+x=x^3+3x^2+x When you multiply polynomials, you multiply all pairs of terms together. (x^2+x)(x^3+x)=(x^2)(x^3)+(x^2)(x)+(x)(x^3)+(x)(x)=x^5+x^3+x^4+x^2 Basically, in addition you look at like terms to simplify. In multiplication, you multiply each term individually with every term on the opposite side, ignoring like terms.
