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What else can I help you with?
Division of polynomial by a polynomial?
Can be done.
How syntheic division is like long division?
Having watched a video on synthetic division, which stated that: "In algebra, synthetic division is a method of performing polynomial long division." I don't think that they are similar.
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.
Who invented long division?
His name is Cornelius, and he invented long division (something that every child HATES!)
Which binomial is a factor of the polynomial below?
To determine which binomial is a factor of a given polynomial, you can apply the Factor Theorem. According to this theorem, if you substitute a value ( c ) into the polynomial and it equals zero, then ( (x - c) ) is a factor. Alternatively, you can perform polynomial long division or synthetic division with the given binomials to see if any of them divides the polynomial without a remainder. If you provide the specific polynomial and the binomials you're considering, I can assist further.
When will you use polynomial long division in life?
In a mathematics exam.
What is synthetic division?
Synthetic division is a simplified method for dividing a polynomial by a linear binomial of the form (x - c). It involves using the coefficients of the polynomial and performing operations that resemble long division but are more streamlined. This technique is particularly useful for quickly finding polynomial quotients and remainders without having to write out the entire long division process. Synthetic division is efficient and can be applied when the divisor is a linear polynomial.
Division of polynomial by a polynomial?
Can be done.
How syntheic division is like long division?
Having watched a video on synthetic division, which stated that: "In algebra, synthetic division is a method of performing polynomial long division." I don't think that they are similar.
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.
Who invented long division?
His name is Cornelius, and he invented long division (something that every child HATES!)
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.
If you find that a term is missing from a long division polynomial problem how should you write the problem?
zero
Which binomial is a factor of the polynomial below?
To determine which binomial is a factor of a given polynomial, you can apply the Factor Theorem. According to this theorem, if you substitute a value ( c ) into the polynomial and it equals zero, then ( (x - c) ) is a factor. Alternatively, you can perform polynomial long division or synthetic division with the given binomials to see if any of them divides the polynomial without a remainder. If you provide the specific polynomial and the binomials you're considering, I can assist further.
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
Polynomial division is actually quite similar to the method of long division that I was taught back in elementary school. Instead of simply using numbers as we did back then, there are variables to deal with as well. However, the process is effectively the same. We go through the problem term by term, just like in numerical long division.
If you find that a term is missing from a long division polynomial problem you should write that term with a coefficient of?
Zero.
Which operation between two polynomials will not always result in a polynomial?
Division of one polynomial by another one.
