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To divide the polynomial (2x^2 + 7x + 5) by a linear polynomial, you typically use polynomial long division or synthetic division. However, since you didn't specify a divisor, I'll assume you're asking for the quotient of (2x^2 + 7x + 5) divided by (1), which is simply the polynomial itself: (2x^2 + 7x + 5). If you meant a different divisor, please specify for a more accurate answer.
What else can I help you with?
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 the quotient in polynomial form -1 2 7 5 A. x plus 5 B. x - 5 C. 2x - 5 D. 2x plus 5?
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.
What is a polynomial multiplication with a quotient of x 3 and a remainder of 2?
To get a quotient and a remainder, you would need to do a division, not a multiplication.
Which polynomial is in simplest form?
A polynomial is in simplest form when it is expressed with no like terms and no factors that can be further simplified. For example, the polynomial ( 3x^2 + 5x - 2 ) is in simplest form because it cannot be factored or combined further. In contrast, ( 6x^2 + 3x - 1 + 2x^2 ) can be simplified to ( 8x^2 + 3x - 1 ), which is its simplest form. To determine if a polynomial is in simplest form, check for like terms and factorability.
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 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 the quotient in polynomial form -1 2 7 5 A. x plus 5 B. x - 5 C. 2x - 5 D. 2x plus 5?
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.
What are two polynomial functions whose quotient will have the same degree as the divisor?
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.
Divide 4xcubed-3x+1 by 2x-1 Polynomial?
Quotient =3x 3 −x 2 −x−4 Remainder =−5
What is a polynomial multiplication with a quotient of x 3 and a remainder of 2?
To get a quotient and a remainder, you would need to do a division, not a multiplication.
Which polynomial is in simplest form?
A polynomial is in simplest form when it is expressed with no like terms and no factors that can be further simplified. For example, the polynomial ( 3x^2 + 5x - 2 ) is in simplest form because it cannot be factored or combined further. In contrast, ( 6x^2 + 3x - 1 + 2x^2 ) can be simplified to ( 8x^2 + 3x - 1 ), which is its simplest form. To determine if a polynomial is in simplest form, check for like terms and factorability.
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.
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.
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2 -4 and 1 plus 3i?
To write a polynomial function with real coefficients given the zeros 2, -4, and (1 + 3i), we must also include the conjugate of the complex zero, which is (1 - 3i). The polynomial can be expressed as (f(x) = (x - 2)(x + 4)(x - (1 + 3i))(x - (1 - 3i))). Simplifying the complex roots, we have ((x - (1 + 3i))(x - (1 - 3i)) = (x - 1)^2 + 9). Thus, the polynomial in standard form is: [ f(x) = (x - 2)(x + 4)((x - 1)^2 + 9). ] Expanding this gives the polynomial (f(x) = (x - 2)(x + 4)(x^2 - 2x + 10)), which can be further simplified to the standard form.
X plus 5 x plus 2 as a polynomial in standard form?
As a polynomial in standard form, x plus 5x plus 2 is 6x + 2.
What is a cubic polynomial function in standard form with zeros 1 -2 and 2?
It is x^3 - x^2 - 4x + 4 = 0
2 x - 1 2 square?
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.
