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Which model shows the correct factorization of x2 + 2x - 8

Samantha Barber

in Mathematics

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1 answer

Cynthia Baker on January 13, 2019

To factor x^2 + 2x - 8 follow these steps1) Write the factors, with x as the first term, in this way:(x )(x) (2) The sign to the right of x in the first factor is the same sign of the coeficient of x in the polynomial.That is a +.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 ( - ).For what it is (+).(-) + -.Now the two factors have this form:(x + ) (x - )3) Now find two numbers whose product is - 8 and whose difference is +2Those numbers are + 4 and -2.Then, the two factors are:(x + 4) (x - 2).So the answer to if that the correct factorization is (x + 4) (x - 2)

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