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To find the quotient of a binomial or polynomial when there is a remainder, perform polynomial long division or synthetic division. Divide the leading term of the dividend by the leading term of the divisor to get the first term of the quotient. Multiply the entire divisor by this term and subtract the result from the dividend, bringing down the next term as needed. Continue this process until you reach a remainder that is of lower degree than the divisor, which can be expressed as ( \text{Quotient} + \frac{\text{Remainder}}{\text{Divisor}} ).
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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.
How DO YOU divide the polynimail by another polynomail?
To divide one polynomial by another, you use polynomial long division or synthetic division. In polynomial long division, you divide the leading term of the dividend by the leading term of the divisor to find the first term of the quotient. Then, multiply the entire divisor by this term and subtract the result from the dividend, repeating the process until the degree of the remainder is less than that of the divisor. The final result consists of the quotient and the remainder expressed as a fraction over the divisor.
How do you do division with remainder?
To perform division with a remainder, divide the dividend (the number being divided) by the divisor (the number you are dividing by) to find the quotient (the whole number result). Multiply the quotient by the divisor, and then subtract this product from the original dividend to find the remainder. The final result can be expressed as: Dividend = (Divisor × Quotient) + Remainder. The remainder must always be less than the divisor.
What answer is equal to the quotient in the expression below 3x 3 - 5x 2 - 2x x 2 - 2x?
To find the quotient of the expression (3x^3 - 5x^2 - 2x) divided by (x^2 - 2x), you would perform polynomial long division. The result of this division yields the quotient, which is (3x + 1) with a remainder of (0). Therefore, the answer equal to the quotient is (3x + 1).
What is the remainder R when the polynomial p(x) is divided by (x - 2)?
The remainder ( R ) when a polynomial ( p(x) ) is divided by ( (x - 2) ) can be found using the Remainder Theorem. According to this theorem, the remainder is equal to ( p(2) ). Thus, to find ( R ), simply evaluate the polynomial at ( x = 2 ): ( R = p(2) ).
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.
How DO YOU divide the polynimail by another polynomail?
To divide one polynomial by another, you use polynomial long division or synthetic division. In polynomial long division, you divide the leading term of the dividend by the leading term of the divisor to find the first term of the quotient. Then, multiply the entire divisor by this term and subtract the result from the dividend, repeating the process until the degree of the remainder is less than that of the divisor. The final result consists of the quotient and the remainder expressed as a fraction over the divisor.
Is it possible to find the discriminant of a binomial?
A polynomial discriminant is defined in terms of the difference in the roots of the polynomial equation. Since a binomial has only one root, there is nothing to take its difference from and so in such a situation, the discriminant is a meaningless concept.
How do you do division with remainder?
To perform division with a remainder, divide the dividend (the number being divided) by the divisor (the number you are dividing by) to find the quotient (the whole number result). Multiply the quotient by the divisor, and then subtract this product from the original dividend to find the remainder. The final result can be expressed as: Dividend = (Divisor × Quotient) + Remainder. The remainder must always be less than the divisor.
What answer is equal to the quotient in the expression below 3x 3 - 5x 2 - 2x x 2 - 2x?
To find the quotient of the expression (3x^3 - 5x^2 - 2x) divided by (x^2 - 2x), you would perform polynomial long division. The result of this division yields the quotient, which is (3x + 1) with a remainder of (0). Therefore, the answer equal to the quotient is (3x + 1).
What is the remainder R when the polynomial p(x) is divided by (x - 2)?
The remainder ( R ) when a polynomial ( p(x) ) is divided by ( (x - 2) ) can be found using the Remainder Theorem. According to this theorem, the remainder is equal to ( p(2) ). Thus, to find ( R ), simply evaluate the polynomial at ( x = 2 ): ( R = p(2) ).
What is 71 over 8 as a mixed number?
To find the mixed number you need to first divide to find the quotient and remainder. So 71 over 8 has a quotient of 8 and remainder 7. So the general way of writing a mixed number is dividend over divisor = quotient (remainder over divisor) dividend/divisor = quotient remainder/divisor) So 71 over 8 = 8 7/8.
How can you find the remainder by using the remainder theorem?
The Remainder Theorem states that if you divide a polynomial ( f(x) ) by a linear divisor of the form ( x - c ), the remainder is simply ( f(c) ). To find the remainder, substitute the value ( c ) into the polynomial ( f(x) ) and calculate the result. The output will be the remainder of the division. This method significantly simplifies finding remainders without performing long division.
What is the remainder of 842 divided by 5?
168.4
Find the quotient and remainder for 52 divided 8?
6.5
How do you find the quotient of 37 divided by 8?
4.625
What is a number divided by 43 has a quotient of 3 with 28 as a remainder?
To find the number, you can use the formula: number = (divisor × quotient) + remainder. In this case, the divisor is 43, the quotient is 3, and the remainder is 28. So, the calculation would be: (43 × 3) + 28 = 129 + 28 = 157. Therefore, the number is 157.
