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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.
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.
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 quotient an remainder of 338 divided by 4?
84.5
What is the quotient an remainder of 338 divided by 4?
84.5
What is the remainder and quotient of 3645 divided by 6?
607.5
What is the quotient and remainder of 21365 divided by 7?
3052.1429
What is 4 divided by 15 with a remainder?
0.2667
What is the quotient when 236 divided by 5 gives a remainder of 1?
The quotient is 47 with a remainder of 1
What are the quotient and remainder when 750 is divided by 137.6?
5.4506
Which is the remainder for the quotient of 79 divided by 8?
9.875
Which is the remainder for the quotient of 30068 divided by 43?
699.2558
What is the least number divided by 809 that has a remainder that is the same as the quotient?
810: quotient 1, remainder 1
What is the quotient and remainder of 340 divided by 13?
26.1538
What is the quotient and remainder when 133 is divided by 85?
1.5647
What is the quotient and remainder of 387 divided by six?
387 divided by 6 is 64 with remainder 3.
