You can put this solution on YOUR website! 3x^3-2x^2+x-1
x-5 divides into it 3x^2 times with 3x^3-15x^2. Change signs and add to get
17x^2+x-1
x-5 divides in 17x times with 13x^2+66. Change signs and add to get
66x-1
divides in 66 times to get 66x-330. Change signs and add to get
R329 ANSWER
Q of 3x^2+13x+66
This problem is to use the "Remainder theorem".
The Remainder theorem says that the remainder of division of a polynomial
f(x) =
by a binomial (x-a) is equal to the value of the polynomial f(x) at x= a, i.e. f(a).
So, in your case, to find the remainder of division the given polynomial
f(x) =
by (x-5), you need simply calculate
f(5) = = 329.
Answer. The remainder of division the given polynomial by (x-5) is equal to 329.
