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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.
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 quotient in polynomial form?
The quotient in polynomial form refers to the result obtained when one polynomial is divided by another polynomial using polynomial long division or synthetic division. It expresses the division result as a polynomial, which may include a remainder expressed as a fraction of the divisor. The quotient can help simplify expressions and solve polynomial equations. For example, dividing (x^3 + 2x^2 + x + 1) by (x + 1) yields a quotient of (x^2 + x) with a remainder.
What is an expression to represent the sum of 3 and the quotient of a number divided by 6?
0.5
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 rational algebra expression?
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
What is the quotient of 4 and the quantity of a number and 5 in expression?
4 divided by (n5)
What is an expression to represent the sum of 3 and the quotient of a number divided by 6?
0.5
what is the expression of the quotient 48 and 12?
Quotient means that answer that you have gotten when you have divided the numbers, therefore quotient of 48 and 12=4
When is Quotient when (x plus 3) is Divided into the polynomial 2x to the power 2 x-15?
Assuming that he quadratic is 2x^2 + x - 15, the quotient is 2x - 5.
What expression can be used to find 126 divided by 7?
The quotient of 126/7 is 18
What is another name for 9 divided 5?
1.8
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.
What is a polynomial divided by a polynomial?
monomial
What is the answer of 25a exponent of 5 15a exponent of 4-35a exponent of 3-40a exponent of 3 10a divided by 5a?
The answer to the expression 25a^5 + 15a^4 - 35a^3 - 40a^3 + 10a divided by 5a is 5a^4 + 3a^3 - 7a^2 - 8a + 2.
What is the quotient when the polynomial 2x4 minus 9x3 plus 13x2 minus 15x plus 9 is divided by the polynomial x minus 3?
2x^3 - 3x^2 + 4x - 3
Write an expression to represent the sum of 3 and the quotient of a number divided by 6?
0.5
