I take it (from the nature of the question) that you have met the Remainder Theorem ? This states that if f(x) is divided by (x - h) the remainder is f(h). Here we are dividing f(k) by (k + 1) so the remainder will be f(-1), and you will automatically get the coefficients of the quotient at the same time'
It's usually a hopeless task setting out Synthetic Division in "Answers", because that normally destroys any attempt to set out a table, but the quotient turns out to be k^3 - 2k + 2, with a remainder of - 5.
Answers & Comments
Verified answer
(k4 + k3 – 2k2 – 3) ÷ (k + 1) = k^3 because k^4 divided by k is k^3. Multiply k^3 by (k+1)
k^4 + k^3 subtract and get 0, bring down the 2k^2
0-2k^2 = k^3 -2k because -2k^2 divided by k = -2k. Multiply by (k+1)
-2k^2 -2k subtract -2k from 0k to get 2k ( (subtract a minus)
2k -3 we brought down the 3. Now divide 2k by k, and get 2
2k +2 = k^3 - 2k + 2 subtract and get a remainder of -5
-5 remainder of -5
answer is k^3 - 2k - 2 and -5/(k4 + k3 – 2k2 – 3)
I take it (from the nature of the question) that you have met the Remainder Theorem ? This states that if f(x) is divided by (x - h) the remainder is f(h). Here we are dividing f(k) by (k + 1) so the remainder will be f(-1), and you will automatically get the coefficients of the quotient at the same time'
It's usually a hopeless task setting out Synthetic Division in "Answers", because that normally destroys any attempt to set out a table, but the quotient turns out to be k^3 - 2k + 2, with a remainder of - 5.
The quotient becomes: k^3 - 2k + 2 with a remainder of -5
This Site Might Help You.
RE:
What is (k4 + k3 – 2k2 – 3) ÷ (k + 1)?
I am really confused can someone please help me?