Factor In Maths Example

30 6 5 and there is no remainder.

Factor in maths example. In the given example we can further break up or simplify the number 6 into its factors that is 2 and 3. For example 3 and 6 are factors of 12 because 12 3 4 exactly and 12 6 2 exactly. 3y 2 12y 3y y 4 check. 3y y 4 3y y 3y 4 3y 2 12y.

3y 2 and 12y also share the variable y. So we can factor the whole expression into. 12 3 4 12 so 3 and 4 are factors of 12 also 2 6 12 so 2 and 6 are also factors of 12 and 1 12 12 so 1 and 12 are factors of 12 as well. A positive integer greater than 1 or an algebraic expression that has only two factors i e itself and 1 is termed prime.

3x is the greatest common factor of all three terms. Factor theorem class 9 maths polynomial enables the children to get a knowledge of finding the roots of quadratic expressions and the polynomial equations which is used for solving complex problems in your higher studies. X 3 and x 1 are factors of x2 4x 3. A positive integer or an algebraic expression that has more than two factors is termed composite.

3y 2 12y 3 y 2 4y but we can do better. 12y is 3y 4. Next look for factors that are common to all terms and search out the greatest of these. 3 4 12 so 3 and 4 are factors of 12 2 6 12 so 2 and 6 are also factors of 12.

A factor divides a number completely without leaving any remainder. In other words when we multiply 5 2 and 3 we still get 30. Firstly 3 and 12 have a common factor of 3. The other factors of 12 are 1 2 4 and 12.

Factor 3y 2 12y. So we can say that 5 and 6 are the factors of 30. 3y 2 is 3y y. Factor theorem example and solution are given below.

Each term of 10x 5 has 5 as a factor and 10x 5 5 2x 1. Factor in mathematics a number or algebraic expression that divides another number or expression evenly i e with no remainder. Together that makes 3y.