Year 11 Ex 1 Polynomials

What is the degree of the polynomial P(x)?

 $P\left(x\right)=3x^4-6x^2+x-9$  

• 4

• 3

• 2

• 1

What is the leading coefficient of the polynomial P(x)?

 $P\left(x\right)=3x^4-6x^2+x-9$  

• 3

• 4

• 6

• 9

The polynomial  $P\left(x\right)$  has degree 2. What is the degree of  $\left(P\left(x\right)\right)^3$  ?

• 3

• 4

• 5

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Find the coefficient of  $x^2$  in the polynomial 
 $\left(x^2+2\right)\left(x^3+3x^2-6\right)$ .

• −2

• 0

• 1

• 3

When the polynomial 
 $\left(x^2-2\right)\left(x^3+3x^2-6\right)$ is divided by  $\left(x-2\right)$  what is the remainder?