Long Division

Front

What is long division?

Back

Long division is a method for dividing two numbers, where the dividend is divided by the divisor step by step, breaking down the problem into simpler parts.

Front

What is the first step in long division?

Back

The first step is to divide the first digit of the dividend by the divisor to find the first digit of the quotient.

Front

How do you handle remainders in long division?

Back

If there is a remainder after dividing, it can be expressed as a fraction by placing it over the divisor or can be written as 'R' followed by the remainder.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the difference between a factor and a multiple?

Back

A factor is a number that divides another number without leaving a remainder, while a multiple is the result of multiplying a number by an integer.

Front

How do you factor the expression 2x^2 + 21x + 10?

Back

The expression factors to (2x + 1)(x + 10).

Front

What is the significance of the zero in long division?

Back

The zero in long division indicates that the divisor cannot divide into that part of the dividend, and it helps in maintaining the correct place value in the quotient.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of long division used specifically for dividing polynomials by linear factors.

Front

How do you check if your long division is correct?

Back

You can check your long division by multiplying the quotient by the divisor and adding any remainder; the result should equal the original dividend.

Front

What is the result of dividing 81m^2 - 1?

Back

The expression factors to (9m - 1)(9m + 1).