Answered

Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).

Sagot :

Altavistardidn

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

      ------------------------------------

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.