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.
To determine the quotient in polynomial form, we need to perform polynomial long division or synthetic division based on the given coefficients -1, 2, 7, and 5. The options suggest a linear polynomial as the quotient. Without the specific divisor, it is difficult to provide a definitive answer, but the correct quotient can depend on the context of the division. Please provide the divisor for a precise solution.
To get a quotient and a remainder, you would need to do a division, not a multiplication.
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.
As a polynomial in standard form, x plus 5x plus 2 is 6x + 2.
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.
To determine the quotient in polynomial form, we need to perform polynomial long division or synthetic division based on the given coefficients -1, 2, 7, and 5. The options suggest a linear polynomial as the quotient. Without the specific divisor, it is difficult to provide a definitive answer, but the correct quotient can depend on the context of the division. Please provide the divisor for a precise solution.
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
To get a quotient and a remainder, you would need to do a division, not a multiplication.
Quotient =3x 3 −x 2 −x−4 Remainder =−5
Assuming that he quadratic is 2x^2 + x - 15, the quotient is 2x - 5.
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.
As a polynomial in standard form, x plus 5x plus 2 is 6x + 2.
It is x^3 - x^2 - 4x + 4 = 0
To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.
If you mean 1/14 divided by 3/12 then it is 2/7 in its simplest form
You can factor a polynomial using one of these steps: 1. Factor out the greatest common monomial factor. 2. Look for a difference of two squares or a perfect square trinomial. 3. Factor polynomials in the form ax^2+bx+c into a product of binomials. 4. Factor a polynomial with 4 terms by grouping.