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.
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) ).
6.5
To find the number that gives a quotient of 5 and a remainder of 3 when divided by 7, we can use the formula: ( \text{number} = \text{divisor} \times \text{quotient} + \text{remainder} ). Here, the divisor is 7, the quotient is 5, and the remainder is 3. So, the calculation is ( 7 \times 5 + 3 = 35 + 3 = 38 ). Therefore, the number is 38.
-227
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.
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.
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) ).
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.
168.4
6.5
4.625
To find the number that gives a quotient of 5 and a remainder of 3 when divided by 7, we can use the formula: ( \text{number} = \text{divisor} \times \text{quotient} + \text{remainder} ). Here, the divisor is 7, the quotient is 5, and the remainder is 3. So, the calculation is ( 7 \times 5 + 3 = 35 + 3 = 38 ). Therefore, the number is 38.
-227
Divide the divisor into the dividend which will result as a quotient and sometimes having a remainder
To find the number, multiply the divisor and quotient, then add the remainder. 9 (divisor) times 6 is 54. 54 plus 7 is 61. The number is 61.
2054.5714