When do you get a remainder of 0 the divisor?
Rest. When one term (the “dividend”) is divided by another term (the “divisor”), the result is a “quotient” and a “remainder”. When the remainder is zero, both the quotient and divisor are factors of the dividend.
Table of Contents
What is the formula for divisor with remainder?
The dividend divisor quotient remainder formula can be applied if we know the dividend or the remainder or the divisor. The formula can be applied accordingly. For dividend, the formula is: Dividend = Divisor × Quotient + Remainder. For divisor, the formula is: Dividend/Divisor = Quotient + Remainder/Divisor.
Why do we take the divisor 0 in the Remainder Theorem?
Question 4: Is zero a remainder? Answer: When we divide a term (dividend) by another term (divisor), then the result is a quotient and a remainder. Zero is a remainder, because when the remainder is zero, both the quotient and divisor are factors of the dividend.
How do you get a remainder without a modulus?
Find the remainder without using the modulo operator
- Objective: Write Given two integers ‘number’ and ‘divisor’, write an algorithm to find the remainder if ‘number’ is divided by ‘divisor’.
- Example: num = 10, divisor = 4 remainder = 2 num = 11, divisor = 2 remainder = 1.
- Getting closer:
How do you check if there is a C++ remainder?
The remainder is obtained by using the modulus operator on dividend and divisor. quotient = dividend / divisor; remainder = dividend % divisor; After that, the dividend, divisor, quotient, and remainder are displayed.
Is it a polynomial of degree 0?
Like any constant value, the value 0 can be thought of as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, so, strictly speaking, it also has no degree. As such, its degree is usually indefinite.
Where do we use the remainder theorem?
The Polynomial Remainder Theorem allows us to easily determine whether a linear expression is a factor of a polynomial expression. Check it out!
What does the remainder theorem say about the divisor?
The Remainder Theorem says that we can rewrite the polynomial in terms of the divisor and then evaluate the polynomial at x = a. But when x = a, the factor “x – a” is simply zero! So evaluating the polynomial at x = a gives us:
Is the remainder obtained by dividing one polynomial by another?
That is, the remainder obtained by dividing one polynomial by another is equal to the value of the polynomial dividing the zero of the divisor polynomial. This brings us to the first theorem of this article.
When is the remainder of a dividend zero?
Answer: When we divide a term (dividend) by another term (divisor), then the result is a quotient and a remainder. Zero is a remainder, because when the remainder is zero, both the quotient and divisor are factors of the dividend. Question 5: Can the remainder be negative?
What is the zero of the divisor polynomial?
Let’s find the zero of the divisor polynomial: = – ½ + 1 + ½ – 1 = 0. Therefore, we can conclude that the remainder obtained by dividing q