NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Solutions to Polynomials

## Interactive practice questions

Find the monic third degree polynomial function that has $4$4, $-3i$3i and $3i$3i as zeros.

Easy
Approx 3 minutes

The polynomial $P\left(x\right)=x^3-7x^2+17x-15$P(x)=x37x2+17x15 has a zero at $x=3$x=3. Solve for the other zeros of $P\left(x\right)$P(x).

Given that the equation $x^3-216=0$x3216=0 has a solution $x=6$x=6, find the remaining solutions.

Given that the equation $2x^3=-54$2x3=54 has a solution $x=-3$x=3, find the remaining solutions.

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems