POLYNOMIALS QUIZ-1

 $P\left(x\right)=2x^{\left(n-3\right)}+x^{\left(10-2n\right)}-3\$  is given. Write all  value(s) of n so that P(x) is a polynomial.

 If $P\left(x\right)=x\left(a-3\right)+b\left(x-1\right)-12\$ is a zero polynomial,then which one below is the value of a+b?

 $P\left(x\right)=x^2-2x+5\$  is given. Which one is the sum of the coefficients of  $P\left(x+1\right)?$  

 $\left(a-2\right)x^3+\left(b+1\right)x^2+cx=x^3+bx+ad-3$  is given. Which one is the value of a+b+c+d?

What is the quotient when $P\left(x\right)=x^4-4x^2-6x+7$ is divided by  $x^2+x$  ?