CHAPTER-2 POLYNOMIALS (SET-2)

Questions in this test

1. Divide the polynomial $f(x)=3x^2-x^3-3x+5$ by the polynomial $g(x)=x-1-x^2$ find reminder
2. If the two zeros of the polynomial $f(x)=x^4-6x^3-26x^2+198x-35$ are $2±\sqrt{3}$ find other zeros?
3. Find the value of a and b so that $x^4+x^3+8x^2+ax+b$ is divisible by $x^2+1$
4. What must be added to the polynomial $f(x)=x^4+2x^3-2x^2+x-1$ so that the resulting polynomial is exactly divisible by $x^2+2x-3?$
5. If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.
6. If a-b, a and a+b are zeros of polynomial $f(x)=2x^3-6x^2+5x-7,$ write the value of a
7. If $(x+a)$ is the factor of $2x^2+2ax+5x+10,$ find a ?
8. If $\alpha$ and $\beta$ are the zeros of polynomial $2y^2+7y+5$ write the value of $\alpha +\beta +\alpha \beta $
9. If a quadratic polynomial is a square of linear polynomial, then its two zeros are _________.
10. If $f(x)=ax^2+hx+c$ has no real zeros and $a+b+c<0,$ then