math help factoring trinomials


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Co-factors
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleting the fir..
Summary
. If A =[a i j ] m x n is a matrix of order mxn. The minor of a i j of |A|, denoted by M i j , is given by the determinant which is obtained by deleting i t h row j t h column of |A|. The co-factor of the determinant of the A = [a i j ] m x n , denoted by A i j is given by A i j = (-1) i ..
Summary
The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..
Factorization of trinomials
The general form of the trinomial is (x 2 + cx + d) where c and d have different numerical values: c = a + b, and d = ab. In the given trinomial expression if all terms are positive, then both the factors are positive. If the middle term is negative,..
Factorising a trinomial by splitting the middle term
The general form of the trinomial is (x 2 + cx + d) where c and d have different numerical values: c = a + b, and d = ab. In these examples, study the relation between the middle and the last terms. Therefore, to factorise expressions of the type (x 2 + cx + d), we have to find two ..
Steps to factorise a trinomial of the form x2 + bx + c where b and c are integers:
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 h..
Factor the trinomial: 6y2 - 55y - 50
Factor the trinomial: 6 y 2 - 55 y - 50 => ( y - 5)(6 y + 10) or ( y - 10)(6 y + 5) or ( y + 6)(5 y + 5) or ( y - 1)(6 y - 50)..
Factor the trinomial. 7y2 - 78y - 72
Factor the trinomial. 7 y 2 - 78 y - 72 => ( y - 6)(7 y + 12) or ( y + 7)(6 y + 6) or ( y - 12)(7 y + 6) or ( y - 1)(7 y - 72)..
Factor the trinomial.2x2 - 5xy - 12y2
Factor the trinomial. 2 x 2 - 5 x y - 12 y 2 => (2 x + 3 y )( x - 4 y ) or (2 x - 3 y )( x - 4 y ) or (2 x + 3 y )( x + 4 y ) or (2 x - 3 y )( x + 4 y )..
Factor the trinomial. 5x2 - 32xy - 64y2
Factor the trinomial. 5 x 2 - 32 x y - 64 y 2 => ( x - 8 y )( x - 8 y ) or (5 x + 8 y )( x - 8 y ) or ( x + y )(5 x + 64 y ) or ( x + 8 y )(5 x - 8 y )..
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