When a number is divided by 7 its remainder is always?

When a number is divided by 7, its remainder is always less than 7.

What if the remainder is 0?

When the remainder is zero, both the quotient and divisor are factors of the dividend. When the remainder is not zero, neither the quotient nor the divisor are factors of the dividend. 0 is the remainder. Since the remainder is zero, both 2 and 3 are factors of 6.

What is the remainder when P x is divided?

The polynomial remainder theorem says that for a polynomial p(x) and a number a, the remainder on division by (x-a) is p(a).

What is remainder equal to?

In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division). In algebra of polynomials, the remainder is the polynomial “left over” after dividing one polynomial by another.

How do you find the remainder of 12x^3 – 13X^2 – 5x + 7?

Find the remainder when f (x) = 12x^3 – 13x^2 – 5x + 7 is divided by (3x + 2). >> Find the remainder when f (x… Find the remainder when f(x)=12x 3−13x 2−5x+7 is divided by (3x+2).

How to find the remainder of a polynomial function using remainder theorem?

When a polynomial function f (x) is divided by the linear x-c, then the remainder of polynomial function is always equal to f (c). We know that Dividend = (Divisor x Quotient ) + Remainder r (x) is remainder. Question: Solve (x^4 + 7x^3 + 5x^2 – 4x + 15) \% (x + 2) using remainder theorem?

How do you find the quotient of a polynomial with a dividend?

Divide the highest order term in the dividend x x by the highest order term in divisor x x. Multiply the new quotient term by the divisor. After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend. The final answer is the quotient plus the remainder over the divisor.

How to divide polynomials with different order terms?

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0 0. Divide the highest order term in the dividend x2 x 2 by the highest order term in divisor x x. Multiply the new quotient term by the divisor.