Find the remainder when the polynomial () = 3 − 32 + 4 + 50 is divided by () = + 3 using remainder theorem

Find the remainder when the polynomial () = 3 − 32 + 4 + 50 is divid

1.	Find the remainder when the polynomial () = 3 − 32 + 4 + 50 is divided by () = + 3 using remainder theorem
Answer» <html><body><p>Given p(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>)=x <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> −3x 2 +4x+50 and <a href="https://interviewquestions.tuteehub.com/tag/g-1003017" style="font-weight:bold;" target="_blank" title="Click to know more about G">G</a>(x)=x−3Here, p(x) is divided by g(x)The remainder is p(3) =3 3 −3(3) 2 +4×3+50 (By Remainder Theorem) =27−27+12+50 =62Thus, the remainder is <a href="https://interviewquestions.tuteehub.com/tag/62-330265" style="font-weight:bold;" target="_blank" title="Click to know more about 62">62</a></p></body></html>