x^2 + kx - 19 Find all values of k so that each polynomial can be factored using integers.

Answer 1

First, write down two sets of parentheses to indicate the product.

( )( )

Since the first term in the trinomial is the product of the first terms of the binomials, you enter x as the first
term of each binomial.

(x )(x )

The product of the last terms of the binomials must equal -19.
and their sum must equal -18, and one of the binomials' terms has to be negative. Four different pairs of
factors have a product that equals -19.

Only two integers numbers with the product= -19 and sum= -18 is:

-19 and 1

So:

x^2+kx-19=(x-19)(x+1)=

x*x-19x+x-19= x^2-18x-19

k= -18

Answer 2

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