Question

PLEASE HELP ME IM DESPERATE.

Determine the multiplicity of the zeros for each function.
A. f(x)=3x-2
B. f(x)=(x+3)^2(2x-1)
C. f(x)=(x+2)(2x+5)

Answer 1

the multiplicity of zeros for each function:

`A. (f(x) = 3x - 2)`

- This is a linear function, so it has one zero. The multiplicity of this zero is 1.

`B. (f(x) = (x + 3)^2(2x - 1))`

- The factor ((x + 3)²) indicates that there is a zero at (x = -3) with multiplicity 2.

- The factor (2x - 1) indicates that there is a zero at

`(x = (1)/(2))`

with multiplicity 1.

`C. (f(x) = (x + 2)(2x + 5))`

- The factor (x + 2) indicates a zero at (x = -2) with multiplicity 1.

- The factor (2x + 5) indicates a zero at

`(x = -(5)/(2)) with \: multiplicity \: 1 ..`

ᶜˡᵃⁱᶠʳ