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What is the remainder when 3 is synthetically divided into the polynomial -x2 5x - 9?
-3
What is the remainder when 2 is synthetically divided into the polynomial -3x2 plus 7x-9?
-7
What is an expression that completely divides a given polynomial?
An expression that completely divides a given polynomial without leaving a remainder is called a factor of the polynomial. This means that when the polynomial is divided by the factor, the result is another polynomial with no remainder. Factors of a polynomial can be found by using methods such as long division, synthetic division, or factoring techniques like grouping, GCF (greatest common factor), or special patterns.
True or false When the polynomial in P(x) is divided by (x-a) the remainder equals P(a)?
False (apex)
How do you answer polynomial?
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
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.
What is the remainder when 2 is synthetically divided into the polynomial?
To find the remainder when a polynomial is divided by (x - 2) using synthetic division, we substitute (2) into the polynomial. The remainder is the value of the polynomial evaluated at (x = 2). If you provide the specific polynomial, I can calculate the remainder for you.
Can a polynomial be divided by a trinomial?
Some can.
If a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
false - apex
If a polynomial is divided by (x - a) and the remainder equals zero then (x - a) is a factor of the polynomial.?
Yes, that's correct. According to the Factor Theorem, if a polynomial ( P(x) ) is divided by ( (x - a) ) and the remainder is zero, then ( (x - a) ) is indeed a factor of the polynomial. This means that ( P(a) = 0 ), indicating that ( a ) is a root of the polynomial. Thus, the polynomial can be expressed as ( P(x) = (x - a)Q(x) ) for some polynomial ( Q(x) ).
What is rational algebra expression?
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
What is the remainder when 3 is synthetically divided into the polynomial -2x2 7x-9?
-6
What is the remainder when 3 is synthetically divided into the polynomial -x2 5x - 9?
-3
The video example 36 dividing a polynomial by a binomial?
In video example 36, the process of dividing a polynomial by a binomial is demonstrated using long division. The polynomial is divided term by term, starting with the leading term of the polynomial, and determining how many times the leading term of the binomial fits into it. This is followed by multiplying the entire binomial by that quotient term, subtracting the result from the original polynomial, and repeating the process with the remainder until the polynomial is fully divided. The final result includes both the quotient and any remainder expressed as a fraction.
What is the difference between rational and polynomials?
A polynomial function is simply a function that is made of one or more mononomials. For example 4x^2+3x-5 A rational function is when a polynomial function is divided by another polynomial function.
What is the remainder when 2 is synthetically divided into the polynomial -3x2 plus 7x-9?
-7
What are the Basic concepts of rational function?
Thee basic concept is that an rational function is one polynomial divided by another polynomial. The coefficients of these polynomials need not be rational numbers.
