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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.
What else can I help you with?
What is polynomial division?
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
How are multiplying and dividing different?
multiply means multying it or increasing dividing means decreasing
How is dividing decimals different than dividing whole numbers?
in dividing decimals you never get a remainder and in dividing whole numbers you do. +++ More to the point perhaps, you are working in powers of 10 all the time.
Why does dividing 5 by a decimal less than 1 give a quotient greater than 5?
5 x 0.2 = 25 Or to put it a different way 25 / 0.2 = 5 Dividing something by a number greater than 1 gives you a smaller number Dividing something by 1 gives the same number Dividing something a number smaller than 1 gives you a larger number
Is taking ½ of a number is the same as dividing by ½?
No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school Can understanding how to do one kind of division help you with the other?
Your dividing with variables now.
When dividing a polynomial F x by the binomial x - a a remainder not equal to zero tells you that x - a is not a of the polynomial?
factor
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.
Why are polynomials not closed under division?
Polynomials are not closed under division because dividing one polynomial by another can result in a quotient that is not a polynomial. Specifically, when a polynomial is divided by another polynomial of a higher degree, the result can be a rational function, which includes terms with variables in the denominator. For example, dividing (x^2) by (x) gives (x), a polynomial, but dividing (x) by (x^2) results in (\frac{1}{x}), which is not a polynomial. Thus, the closure property does not hold for polynomial division.
What is the qoutient of dividing a trinomial to monomial?
A binomial and possibly a fraction.
What is polynomial division?
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
How dividing by decimal is different from dividing by whole number and how it is similar?
Dividing by decimal is different from dividing by whole number as you have to multiply by a number to remove the decimal.
A number A is a root of P(x) if and only if the remainder when dividing the polynomial by x plus a equals zero True or false?
True-APEX
Dividing polynomials when the divisor is a polynomial of the second degree by method of synthetic division.?
I can solve this question . But i think it is better to hold on . I want to register my finding with my name.
When dividing the polynomial x3 4x2 5x 2 by x 2 the remainder is 0 making x 2 a factor?
Yes, if there is no remainder after division, the divisor is a factor.
Which binomial is a factor of the trinomial 4x2 - 4x - 120?
Dividing all terms by 4 gives: x2-x-30 = (x-6)(x+5) when factored
When dividing the polynomial x3 plus 5x2 plus 7x plus 3 by x plus 3 the remainder is 0 making x plus 3 a factor?
True.
