write the verbal phrase as an algebric expression use x for the variable in the expression four more than a number

An algebraic expression in which the variables have only non negative powers is called polynomial. Examples: x 2 +3xy 2 +4x 5 : 3x 4 +4xy. Factorisation is expressing a given expression ..

Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For example, x - y, a + 3b, x 3 + 4y etc. are binomials. We know that, For n = 1,2,3,4, the expansion of (a + b) n , has been ex..

>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A square A = [a i j ]..

Recognise the appropriate identity. Rewrite the given expression in the form of the identity. Write the factors of the given expression using the identity..

Factorisation using Identities - Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..

Find all pairs of factors whose product is the last term of the trinomial. From the pairs of factors from step 1, choose a pair of factors whose sum is the coefficient of the middle term of the trinomial. Split the middle term using the pair of factors from step 2 and rewrite..

You are familiar with factors and products in the case of numbers. For example, 8 is the product of 4 and 2. 4 and 2 are called the products of 8 . Similarly, the algebraic expression a x b x c = abc can be written as 1.a.b.c or 1.ab.c or ..

Step 1: The factor pairs of the last term are (7,2), (14,1), (-1,-14). Step 2: The pair of factors whose sum is equal to -15, the co- efficient of the middle term is (-1,-14). Step 3: Rewrite the expression using these factors Step 4: Group the terms and factorise...

Significant Figures and Measuring Instruments - Let us consider the following entries in a Students' Journal: (a) Weight of a calorimeter = 42 g (measuring instrument used is spring balance) The smallest reading the spring balance can record is 1g. There are 42 of 1 g units of measurement..

Step 1: The factor pairs of the third term are ((7,4); (14,2); (28, 1). Step 2: The pair of factors whose sum is equal to the co-efficient of the middle term is 14 and 2. Step 3: Rewrite the expression using these factors Step 4: Group the terms and facto..