Polynomial Division

What is the remainder when

 $\left(x+3\right)^{2020}$  is divided by  $x+2$  ?

When  $P\left(x\right)$   is divided by  $x-4$  the remainder is 4 and the quotient is  $x^{2\ }+4x-9$  . What is P(x)?

•  $x^3-25x+40$  

•  $x^3+25x-40$  

•  $x^2-25x+40$  

•  $x^3-25x^{2\ }+40$  

 $\left(4x^4-8x^3-3x^2+7x-2\right)\div\left(2x-1\right)$  

Use long division to evaluate

•  $2x^3-3x^2-3x+2$  

•  $2x^3+3x^2+3x+2$  

•  $2x^3-3x^2-3x-2$  

•  $2x^3+2$  

Tags

CCSS.HSA.APR.D.6

Given that $P\left(-2\right)=1,\ P\left(-1\right)=3,\ P\left(1\right)=0,\ P\left(2\right)=4$  

Find the remainder when P(x) is divided by x+2

Given that $P\left(-2\right)=1,\ P\left(-1\right)=3,\ P\left(1\right)=0,\ P\left(2\right)=4$  

Find the remainder when P(x) is divided by 2-x

Find the value of c for which  $p\left(x\right)=4x^{3\ }+cx^2+x+2$   is divisible by  $x+2$  

•  $c=-8$  

•  $c=8$  

•  $c=0$  

•  $c=-2$  

Simplify: $\frac{16b^{4\ }-8b^3+4b^2\ }{2b^2}$  

•  $8b^2+4b-2$  

•  $8b^2-4b+2$  

•  $2$  

•  $b=2$  

Tags

CCSS.HSA.APR.D.6

Which of the polynomials have x-3 as a factor?

• $A\left(x\right)=x^3-2x^2-4x+3$

• $B\left(x\right)=x^3+3x^2-2x-6$

• $C\left(x\right)=x^4-2x^3-27$

• $D\left(x\right)=x^4-20x-21$

• 

 $S=1-\frac{1}{2}+\frac{1}{4}+...+\frac{1}{1024}$  

find the sum:

•  $\frac{1-\left(-\frac{1}{2}\right)^{11}}{1-\left(-\frac{1}{2}\right)}$  

•  $\frac{1-\frac{1}{2048}}{\frac{3}{2}}$  

•  $\frac{1+\frac{1}{2^{10}}}{\frac{3}{2}}$  

•  $\infty$  

 $P\left(x\right)$ , a degree 5 polynomial,  is divided by  $d\left(x\right)$  , a second degree polynomial. Select all which are true:

• The remainder is sometimes 0

• The remainder could be degree 3

• The quotient is always degree 3

• The quotient could be degree 2

• The remainder could be degree 1