Question Text
Question 3 :
If $p(x) = 2x^3-3x^2+4x-5$. Find the remainder when $p(x)$ is divided by , $x-1$
Question 4 :
If $(x-1)$ is a factor of $x^2 + 2x - k$, then find $k$.
Question 5 :
If $(x -2)$ is a factor of $x^2 + 4x -2k$, then the value of k is
Question 7 :
Polynomials $p(x), g(x), q(x)$ and $r(x)$, which satisfy the division algorithm and "deg $p(x) = $ deg $q(x)$" are<br/>
Question 8 :
Find the reminder when ${x^3} + 3{x^2} + 3x + 1$ is divided by $x + \pi $
Question 9 :
Let p(x) be a quadratic polynomial with constant term 1. Suppose $p(x)$ when divided by $x -1$ leaves remainder 2 andwhen divided by $x +1$ leaves remainder 4. Then the sum of the roots of $p(x) = 0$ is
Question 10 :
The polynomials$\displaystyle ax^{3}+3x^{2}-3$ and$\displaystyle 2x^{3}-5x+a$ when divided by (x - 4) leaves remainder$\displaystyle R_{1}$ &$\displaystyle R_{2}$=0
Question 11 :
When a number P is divided by 4 it leaves remainder 3. If twice of the number P is divided by the same divisor 4, then what will be the remainder?
Question 13 :
Let P be a non zero polynomial such that $P(1 + x) = P(1 - x)$ for all real x, and $P(1) = 0$. Let m be the largest integer such that $(x - 1)^m$ divides $P(x)$ for all such $P(x)$. Then m equals
Question 14 :
If $ax^{3}+ bx^{2}+ c x + d$ is divided by $x - 2$, then the remainder is equal<br>