Polynomial-Test Me- Hayat

 $x^4+3$  

What is the name of this Polynomial?

• Constant

• Quadratic

• Quartic

• Cubic

Polynomial that is divided by a dividend is called _________.

The degree of polynomial is determine by the _______ power of x.

 $\ \frac{P\left(x\right)}{D\left(x\right)}\$  

What method do we use to solve the above question?

Given  $P\left(x\right)=3x^2-2x-1$  .

What is the remainder when  $P\left(x\right)$  is divided by  $x-5$  ?

• 4

• 5

• 64

• 65

 $\frac{x^3+x-1\ }{x^2-3}$  

 The quotient  and the remainder for above division is  $Ax$   and  $Bx+C$   respectively. What are the values of  $A$  ,  $B$   and  $C$  ?

•  $A=1,\ B=2,\ C=3$  

•  $A=1,\ B=4,\ C=-1$  

•  $A=2,\ B=-2,\ C=-1$  

•  $A=1,\ B=-4,\ C=-3$  

Find the values of a and b if polynomial  $P\left(x\right)=x^3+ax^2+bx+1$  is exactly divisible by  $\left(x-1\right)$  and has a remainder of 3 when divided by  $\left(x+2\right)$  

•  $a=1,\ b=-3$  

•  $a=-3,\ b=-4$  

•  $a=2,\ b=1$  

•  $a=-1,\ b=2$  

 $\frac{2x+1}{\left(x-1\right)\left(x+2\right)}\equiv\frac{A}{\left(x-1\right)}+\frac{B}{\left(x+2\right)}$  

What is the addition value of A and B?

 $\frac{3x-2}{\left(x+3\right)\left(x-2\right)^2}\equiv\frac{A}{\left(x+3\right)}+\frac{B}{\left(x-2\right)}+\frac{C}{\left(x-2\right)^2}$  

What are the values of  $A,\ B$  and  $C?$  

•  $A=-11,\ B=11,\ C=4$  

•  $A=\frac{11}{25},\ B=\frac{11}{25},\ C=4$  

•  $A=-\frac{11}{25},\ B=\frac{11}{25},\ C=\frac{4}{5}$  

•  $A=\frac{11}{25},\ B=-\frac{11}{25},\ C=4$  

 $\frac{x^4+2x-1}{\left(x\right)\left(x-1\right)\left(x+3\right)}\equiv ax+b+\frac{1}{c\left(x\right)}+\frac{1}{d\left(x-1\right)}+\frac{37}{e\left(x+3\right)}$  
What are the values of a, b, c, d and e ?

•  $a=1,\ b=2,\ c=3,\ d=2,\ e=6$  

•  $a=1,\ b=2,\ c=3,\ d=4,\ e=5$  

•  $a=1,\ b=-2,\ c=3,\ d=4,\ e=6$  

•  $a=1,\ b=-2,\ c=3,\ d=2,\ e=6$