1 of 8 0-day streak

Move between roots, factors, polynomial rules and equations

Question 1 of 8

No calculator

The polynomial is already given in factor form

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

Use the null factor law and state the real roots with their multiplicities

(a)1 mark

Factorise the equation after writing it in zero form, then give every real solution

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

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

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

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

(b)6 marks

Enter the real roots in increasing order and the multiplicity of each root

Root 1 Multiplicity of root 1 Root 2 Multiplicity of root 2 Root 3 Multiplicity of root 3