Polynomials

What is the degree of the following polynomial

 $x^5+2x^{2\ }-\ 5x\ +\ 6$  

• 2

• 3

• 4

• 5

Expand

 $\left(2x+1\right)^3$  

•  $20x^{3\ }+8x+1$  

•  $12x^3+8x^{2\ }+\ 6x\ +1$  

•  $8x^{3\ }+12x^2+6x\ +\ 1$  

•  $6x^{3\ }+\ 12x^{2\ }+\ 8x\ +\ 1$  

 $\left(2x^2+5x-1\right)\div\left(x+4\right)$  has a remainder of...

•  $\left(2x-3\right)$  
  

• 6

• 11

• 12

The quotient of

 $\left(x^3+2x^2-9x-3\right)\div\left(x-2\right)$  is...

•  $x^2+6x-17$  

•  $x^2+4x-1$  

•  $x^2-1$  

•  $x^{2\ }+\ 8x\ -\ 2$  

The value of  $x^3$   in

 $\left(3x^4+2x^2\ +\ x\ -\ 5\right)$  is...

• 0

• 1

• 2

• 3

Which of these is a factor of $\left(x^3+2x^2-x-2\right)$  

• (x+3)

• (x-2)

• (x-3)

• (x+1)

Factorise  $x^3-7x^2+7x+15$  - answer in brackets with no spaces between (smallest factor first preferably)

 $\left(x-1\right)\left(x+2\right)\left(x-3\right)\ =\ 0$  

Solve the equation

• -2, 1, -3

• 1, 2, 3 

• -1, 2, -3

• 1, -2, 3

 $x^{3\ }+6x^{2\ }+5x-12\ =\ 0$  

Solve the following Polynomial

• -4, -1, 3

• -4, -3, 1

• -3, -1. 4

• -1, 3, 4

The graph of $y=\left(x+2\right)\left(x+4\right)\left(x-3\right)$  has x intercepts at

• 2, 3, 4

• -3, 2, 4

• -3, -2, 4

• -4, -2, 3