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When a polynomial is divided by one of its binomial factors what is the quotient called?
When a polynomial is divided by one of its binomial factors, the quotient is called the "reduced polynomial" or simply the "quotient polynomial." This resulting polynomial represents the original polynomial after removing the factor, and it retains the degree that is one less than the original polynomial.
How do you know if you have simplified a polynomial correctly?
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
What are prime polynomials?
A polynomial that can't be separated into smaller factors.
If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
Are a polynomial's factors the values at which the graph of a polynomial meets the y-axis?
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
Are a polynomial's factors the values at which the graph of a polynomial meets the x-axis?
false
How do you know if you have simplified a polynomial correctly?
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
Why might it be useful to know the linear factors of a polynomial function?
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
How do you find a degree of a graphed polynomial?
Factors
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - b is a factor?
a
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - a is a factor?
B
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - c is a factor?
a
What is the polynomial when each of its factors is prime?
Completely Factored
If the factors of a polynomial are x - 2 and x - 5 what values of x make that polynomial 0?
2 or 5
How do you factor a polynomial if their are more than one factors?
Factor it once, and then factor the factors.
How do you factor a polynomial with the equation of 6A2 - B 2?
The given polynomial does not have factors with rational coefficients.
What are prime polynomials?
A polynomial that can't be separated into smaller factors.
