Remainder Theorem

किसी संख्या को $357$ से भाग देने पर शेषफल $39$ है, इस संख्या को $17$ से भाग देने पर शेषफल क्या होगा ?

भाग के एक प्रश्न में भाजक, भागफल का $10$ गुणा एवं शेष का $5$ गुणा हैं यदि शेष $46$ हो तो भाज्य ज्ञात कीजिए ?

When ${47}^{47} + 47$ is divided by $48$, the remainder will be-

$7^{13}+1$ में $6$का भाग देने पर क्या शेष बचेगा ?

If $m$ and $n$ are two integers such that $m = n^2 - n$, then $(m^2-2m)$ is always divisible by

किसी संख्या को $68$ से भाग देने पर भागफल $269$ तथा शेषफल शून्य है , इस संख्या को $67$ से भाग देंगे तो शेषफल क्या होगा ?

एक संख्या को क्रमागत $4,5$ तथा $6$ से भाग देने पर क्रमश $2,4,4$ शेष बचते है ?

If $({\mathrm{x}}^{\frac{3}{2}}-{\mathrm{xy}}^{\frac{1}{2}}+{\mathrm{x}}^{\frac{1}{2}}\mathrm{y}-{\mathrm{y}}^{\frac{3}{2}})$ is divided by $({\mathrm{x}}^{\frac{1}{2}}-{\mathrm{y}}^{\frac{1}{2}})$then the quotient is-

$\left(x^4-x^2{y}^2+2x{y}^3-y^4\right)÷\left(x^2+xy-y^2\right)$

From a basket of mangoes when counted in twos there was one extra, counted in threes there were two extras, counted in fours there were three extras, counted in fives there were four extras, counted in sixes there were five extras. But counted in sevens there were no extras. Atleast how many mangoes were there in the basket?

Find the remainder when $2x^4+3x^3+26x^2-5x+6$ is divided by $x-3$

Without actual division show that $p\left(x\right)={\left(x-1\right)}^{2a}-x^{2a}+2x-1$ is divisible by $2x^3-3x^2+x.$

Prove that $ap+q=0$ if $f\left(x\right)=x^3-3px+2q$ is divisible by $g\left(x\right)=x^2+2ax+a^2.$

Let $p\left(x\right)$ be a polynomial of degree more than $2$. When $p\left(x\right)$ is divided by $x-2$, it leaves remainder $1$ and when it is divided by $x-3$, it leaves remainder $3$. Find the remainder, when $p\left(x\right)$ is divided by $(x-2)(x-3)$.

What is the quotient and remainder if $12x^3-8x^2-6x+10$ is divided by $\left(3x-2\right)$

If the polynomial $p\left(x\right)=x^3+a{x}^2+3x+2$ is divided by $\left(x+a\right)$, then the remainder is 

What is remainder theorem?

$\left(4+7x+7x^2+2x^3\right)÷\left(2x+1\right)$

Divide:

$3x^4-6x^2-8x-2÷x-2$

Divide $27a^3+18a^2+12a+8$by $3a+2$