CHAPTER-2 POLYNOMIALS (SET-2)

Questions in this test

1. If $(x+1)$ is a factor of $2x^2-3bx+5b+4$, then the value of $b$ is _______.
2. What is the value of quadratic polynomial $f\left(x\right)=3x^2+2x-1$ at $x=2$ is _______.
3. Find the other zeroes of a polynomial $x^4-3x^3-x^2+9x-6$ , if two zeroes are $\sqrt{3}$ and $-\sqrt{3}$.
4. If $p(x)$ and $g(x)$ are two polynomials with $g(x)≠0$, then we can find polynomials $q(x)$and $r(x)$ such that $p(x)=g(x)\times q(x)+r(x)$ where $r(x)=0$ or degree of $r(x)$_____.
5. If $p(x), g(x), r(x) and q(x)$ are any four polynomials, then which one is correct _______.
6. When $3x^3+\ x^2+2x+5$ is divided by $x^2+2x+1$ , the remainder is $9x+10$. what will be the quotient?
7. What is the value of $k$ when $2x^3+7x^2+kx-15$ is completely divisible by $x-1$.
8. Which of the following are the set of zeroes of the given polynomial:- $p\left(x\right)=3x^3+\ 5x^2-11x+3$
9. What is the value of $k$, if $x+1$ is a factor of $kx^3-x^2+6$
10. Which of the following are the zeroes of the polynomial $x^2-5$?