factorization method

Writing a polynomials as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Methods of Factorisation: (i) Common factors (ii) By expressing as difference of squares (iii) By grouping (iv) Trinomials (v..

(i) Common factors (ii) By expressing as difference of squares (iii) By grouping (iv) Trinomials (v) Sum or difference of cub..

x 2 - 7x - 8x + 56 Write -15x as -7x and -8x = x (x - 7) - 8 (x - 7) = (x - 7) (x - 8) Now, we consider a case where the third term of the trinomial is negative. Resolve into factors: x 2 + 3x - 28 Since the third term of the trinomial is -28, find two factors of 28 which..

There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphi..

Alternative Proof of Binomial Theorem for Positive Integral Index (Combinatorial Method). We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' from all the..

If A is a set of all positive factors of 36, then in Set builder method it is written as A = {x : x is a factor of 36, x ..

Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors..

When a flux combines with the earthly impurities, an easily fusible mass is obtained which is called slag. The slag is lighter and insoluble in the molten metal. So it can be easily removed from the surface of the molten metal. Molten mixture of calcium and magnesium silicates forms slag. After re..

Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the relation connecting two or more ph..

Bond length is the average distance between the centres of the nuclei of two bonded atoms in a molecule. It is expressed in Angstrom units () or picometers(pm). 1 = 10 - 1 0 m and 1pm = 10 - 1 2 m. It is determined with the help of X-rays diffraction and other spectroscopic methods...