The-polynomial-P-x-x-3-ax-2-4x-b-where-a-and-b-are-constants-Given-that-x-2-is-a-factor-of-P-x-and-that-a-remainder-of-6-is-obtained-when-P-x-is-divided-by-x-1-find-the-values-of-a-and-b- Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 107428 by abony1303 last updated on 10/Aug/20 ThepolynomialP(x)=x3+ax2−4x+b,whereaandbareconstants.Giventhatx−2isafactorofP(x)andthataremainderof6isobtainedwhenP(x)isdividedby(x+1),findthevaluesofaandb. Commented by abony1303 last updated on 10/Aug/20 plshelp Answered by mr W last updated on 10/Aug/20 P(x)=x3+ax2−4x+bP(x)=(x−2)Q(x)P(2)=023+a×22−4×2+b=0⇒4a+b=0…(i)P(x)=(x+1)R(x)+6P(−1)=6(−1)3+a(−1)2−4(−1)+b=6⇒a+b=3…(ii)⇒a=−1⇒b=4 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: x-y-xy-82-x-y-xy-16-Find-x-and-y-by-khaled-k-Next Next post: 3-sin3x-cos3x-2sin-9x-4-4- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.