If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?

(r + 14)

Step-by-step explanation:

When factoring a trinomial in the form of:

you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:

1, 98

2, 49

7, 14

and the reverse of all of those is also true.

Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:

Finally, you can factor each half of this individually.

We were already given (r + 7), so the answer is (r + 14).

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: