Question

4. Describe the zeroes of

f(x) = 4x^5 + 48x^4 + 144x^3
with multiplicity
with multiplicity

Answer 1

392

Explanation:

Answer 2

Final answer: x=0 m:3 and x=-6 m:2

Explanation:

1. 4x³(x²+12x+36)- Divide by greatest common factor, to simplify.

2. 4x³(x+6)(x+6)- Factored

3. 4x³ = 0 Set each factor equal to zero

4. x+6=0 x+6=0

So, x= -6, two times, mulitiplicity 2

So, 4x³=0, so x=0 three times, mulitiplicity 3

Final answer: x=0 m:3 and x=-6 m:2