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Quadratic Expression and Equation
Operation in Quadratic Expression
As we discussed on first part about the meaning of quadratic Expression and equation, here we continue in operation:
Some expression may have common number or letter that multiplied by each term in it. For example in this expression 10 + 15, the common number is 5 that multiplied by 2 + 3 and obtained 10 + 5, i.e. 5(2 +3); also in 2x + 6x2, here the common number is 2x that multiplied by 1 + 3x i.e. 2x (1 + 3x). so the process of finding and factor out a number is called factorization, and vice versa is expansion.
Lets start with simple factorization:
(1) Factorize 2c + 4;
2c + 4, here we don’t deal with letter c because it is found in only one term, here we deal with 2 and 4. Finding the GCF of 2 and 4, we get 2 so that is the number that should be factored out, 2( ); by dividing each term by that number "2” we get the answer 2(c + 2).
Therefore = 2(c + 2).
(1) Factorize 9m + 3mn + 27m2;
9m + 3mn + 27m2, our common number is 3 and common letter is m. so we get out 3m. after dividing each term by 3m we get 3 + n + 9m.
Therefore = 3m(3 + n + 9m)
Factorize the following:
(1) 2x2 – 8; (2) 3r + 5r2 – 2r; (3) 14v – 7v2;
(4) rx2 – 8m; (5) 3x + x2 – 2x;
Expand the following:
(1) 2(x2 – 3m); (2) 4c (3 + c – 2r); (3) 5y (2y – 7);
(4) 2fy (1 – y + 4f); (5) t(2+5t –ft);
up to here you will have a good idea on how to factorize simple expression;The next tutorial we'll check how to factorize Quadratic Expression; Click here to go now.
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