SOLUTION: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = x^4 + 3x^3 &

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Question 1047926: Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x).
P(x) = x^4 + 3x^3 − 17x, D(x) = x − 4
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x-4 means the root to check is 4.
The coefficients shown representing the dividend account for ALL terms containing x, or ALL degrees of x. 
4      |     1     3     0    -17     0
       |
       |           4     28   112  380  
       |_____________________________________
             1     7     28    95   380

Quotient is indicated and R is indicated.



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