A)The polynomial x3 is divided by x +3. Calculate the remainder.
B)The polynomial p(x)is given by p(x)=ax3 +16x2+cx – 120, where a and c are constants. The three zeros of p(x)are –2, 3 and α. Find the value of α.
c)The function ƒ()x =tanx −loge xhas a zero near x =4.Use one application of Newton’s method to obtain another approximation to this zero. Give your answer correct to two decimal places.
d)The polynomial P(x)=x2+ax +b has a zero at x =2. When P(x)is divided by x +1, the remainder is 18.Find the values of a and b.
e)The cubic polynomial P(x) =x3 +rx2 +sx +t
, where r, s and t are real numbers, has three real zeros, 1, αand –α.
(i) Find the value of r.
(ii) Find the value of s +t.
P(x) =x3 +rx2 +sx +t.
p.s im sorry if this is in the wrong part of the forum this is my first post ever.