MATH 1150 Lecture 8: Math 1150 lecture 8
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From the last lecture: steps of long division: set up long division, divide the leading term inside of the division symbol by the leading term outside of the division symbol. =-38 x x by (x-2)? x x is divided by (x-2) (3) (2) When p(x) is divided by (x-c), the remainder is r=p(c) The remainder is -38 when (x) x g. The c value from (x-2) is plugged in to find the remainder. P(c)=0 if and only if the (x-c) is a factor. Use the factor theorem to show that (x-3) is a factor of. Given numbers, then p(x) has at least one complex zero. =0 when x= i 2 + 1 = 1 + 1 = 0. + i = x 2 + 1 x ( i. + a 1 a 0 x i 2 + 1 = 1 + 1 = 0 has complex zeros where n. = a n x n + a n 1.