Use synthetic division
(x5+1)/(x+1)
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A polynomial P(x) and a divisor d(x) are given. Use long divisonto find the quotient Q(x) and the remainder R(x). Express P(x) inthe form P(x)= d(x) times Q(x)+R(x)
P(x)=x3-512
d(x)=x+8
2. For the function F(x), find the maximum number of real zeros,the maximum number of x-intercepts, and the maximum number ofturning points that the function can have
F(x)=x5-x3+7
3. Use synthetic divison to find P(k) for the given value of kand the given function P.
k=3;P(x)=x3-2x2+8
4. Use synthetic division to find the quotient and theremainder.
(x3-3x2-6) divided by (x+2)
5. Suppose a polynomial function of degree 4 with rationalcoefficients has the given numbers as zeros. Find the otherzeros.
1+5i,5+square root of 5