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Which model shows the correct factorization of x2 + 2x – 8? An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is
To factor x^2 + 2x – 8 follow these steps
1) Write to factors, with x as the first term, this way:
(x )(x )
2) The sign to the right of the x in the first factor is the same sign of the coeficient of x in the polynomial.
That is +.
The sign to the right of the x of the second factor is the product of the sign of the coefficent of x (this is +) and the sign of the independent term (this is – ).
So that is (+).(-) + -.
Now the two factors have this form:
(x + ) (x – )
3) Now find two numbers whose product is – 8 and whose difference is +2
Those numbers are + 4 and -2.
Then the two factors are:
(x + 4) (x – 2).
So the answer if that the correct factorization is (x + 4) (x – 2)
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