Question 13 MarksFind the value of $p$ if $x^3+p x+2 p-2$ is exactly divisible by $(x+1)$.AnswerSelfView full question & answer→
Question 23 MarksIf $p(x)=2 x^3+3 x^2-a x-b$ is divided by $(x-1)$, the remainder is 6 , then find the value of $a+b$.AnswerSelfView full question & answer→
Question 33 MarksFind $a$, if the two polynomials $a x^3+3 x^2-9$ and $2 x^3+4 x+a$ leave the same remainder when divided by $(x+3)$. Also, find the remainder.AnswerSelfView full question & answer→
Question 43 MarksFind the value of $k$, if $(x-2)$ is a factor of $x^3+2 x^2-k x+10$. Hence, determine whether $(x+5)$ is also a factor.AnswerSelfView full question & answer→
Question 53 MarksWhen divided by $(x-3)$, the polynomials $p(x)=x^3-p x^2+x+6$ and $q(x)=2 x^3-x^2-(p+3) x-6$ leave the same remainder. Find the value of $p$. Also, find the remainder.AnswerSelfView full question & answer→
Question 63 MarksWhat must be subtracted from $16 x^3-8 x^2+4 x+7$ so that the resulting expression has $(2 x+1)$ as a factor?AnswerSelfView full question & answer→
Question 73 MarksUsing remainder theorem, find the value of $k$ if on dividing $2 x^3+3 x^2-k x+5$ by $(x-2)$, leaves a remainder 7.AnswerSelfView full question & answer→