Name: Math Section 3.1 Review Solution Key
Brand: EduBirdie
Rating: 5.0 (8 reviews)

University:
North Central College
Course:
MATH 151 | Calculus I
Academic year:

2019
Views:

265

Pages:

2
Author:

Clint W.

Advanced Math Section 3.1 [D1 & D2] Review Use synthetic division to divide the first polynomial by the second. Write the quotient and remainder on the in its place! answer line at the right. **Remember, if there is a term missing, you have to put a zero 4x 3 -11x 2 1. g lf 2. :!J x -3 1.) Y. +� + :2l :{:"°3 ,1. 3x 4 -10x 2 - 9x + 5; x +1 3 0 -10 -C\ S -3 2 3: 3 3 -3 °T -:J- -2 x 4 + 9x 3 + 6x 2 - 65x- 63; x - to; I G\ (, - � S I 4. 4�� +- -2. l"f 5 .3 -11 \1 3,J 4 + Sx- 2; _q -i 2 lo3 5'- ·t- ·N +7 0 Explain the significance of the remainder in #3. What does that mean about the divisor, x -rre re\'Y\c 1rder f is zero. When +ne reMaiV\der is t"en\'I '' - which H,t or ij ,Y\0-1 polyY\omio.l. &\�\CjOY '\�� ,� of me4n, zero, i-t Meo.ns 4� d,v·,�r is a.. + 7? #\e. l=AGTOll Use the Remainder Theorem to find P(c). **Reminder: What is the Remainder Theorem and why is it used? Tu ��YV\�1�er � is_ whe.n yof,,l pi� "c'' into Plx)- you. d.o ��,c. su�s+'i-f�."h�.'' r».rd. S\MP\lf'I, ihe. Rtwa�e¥ireo"3 -c. P(x) = x + 2x 2 - Sx + 1; c = 4 3 t>(q)-: t l(4/- 5li+)-t \: (oL\+l.(\e,)-2o+l::: !c'-t+32-2o+I-; �� 5. {l\) 6. P(x) = -x 3 + 3x 2 + Sx P(x) = 6x 4 -12x 2 '>- + 30; Pl�): -('o\\3(�) t 5l�)t3o � 7. c =8 c = -s12+ 3(to4)+4o+3c>"= -512.+ + Bx - 32; -2 5.) "t ":f- 6.) - 2.50 1q2+40+30= -250 7.) 0 p(..2)-;.(o{.-2.)'"... 12.(-l)-i.+�2.)-32: �(lto')-12.(4')+ �l-2)-32. �q�-48-\lP-�2:. 0 Use Synthetic Division and the FactorTheorem to determine whether the given binomial is a factor of P(x). **Reminder: What is the Factor Theorem and why is it used? � .f"t1(..-t1)r �eore.w\ �Wts � of flx) '1f . c. 1 s A.. -z.��o t:rl- F>lx). P�r-fun""l� s or..\ o. � S�t4-i, t>l'l\�lllt\ uii-tt--- "c ,, s\.\o� awt "-. Y-tM4tMer of i.ev-o. x-c , 8. +�'11-o< P(x) = x 3 -� \ + 4x 2 - 27x - 90; x Y - i:t- -q 0 - lp \P! T -� -,� 9D o +6 8.J '(es

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