How do you factor the expression #x^2+ 2x -3#?
(x + 3 )(x - 1 )
To factor , consider the factors of the constant term - 3 which sum to give the coefficient of the x term +2
factors of - 3 are ± (1 , 3 )
The required factors are +3 and - 1 ,as they sum to +2.
#rArr x^2 + 2x - 3 = (x + 3 )(x - 1 )#
This may be confirmed by distributing the brackets.
This is a trinomial of the form
We can find the value of m and n by finding two numbers that multiply to c and that add to b. Two numbers that multiply to -3 and that add to +2 are 3 and -1:
So, when factored, the expression is
- Find which of the following trinomials are factorable. For those that are, factor them completely.