Question

Do you do roots of multiplicity in college algebra?

Answer 1

what do you mean?

Answer 2

Because I am studying for my final exam and I just saw the term root of multiplicity... and I don't know what that mean and the term keeps creeping up one me.

Answer 3

(x+2)^2 <--root of multiplicity 2
(x+2)^3 <---root of multiplicity 3
(x+2)^4 <---root of multiplicity 4

bottomline the multiplicity is the exponent

Answer 4

You might also see it like this. THe roots of the polynomial are 3, 2, and 4 multiplicity 2. Find the polynomial. THis means that the roots are 3, 2, 4, 4.

Answer 5

I know about zeros of multiplicity... but that's only if those were equal to zeros... so the first one is -2 is a root of multiplicity 2 like.... :\ Do you know what:\[(x+\sqrt{d})(x-\sqrt{d})\]

Answer 6

-2 is a root of multiplicity 2 would be (x-2)^2 right?

Answer 7

It would be (x + 2)^2 since you would have to reverse solve for x. x= -2. x + 2 = 0

Answer 8

oh wait yeah + sorry :p

Answer 9

once you understand its concept you'll love that thing more than the other kinds of roots because that one is so fast =)))

Answer 10

@Calcmathlete I didn't understand what you said, when you said how you would be given it and asked to find the polynomial..

Answer 11

the roots are 1, 2, and -3 of multiplicity 2.
x = 1
x = 2
x = -3
x = -3

the factors would be (x-1)(x-2)(x+3)(x+3)..to find the polynomial multiply those factors

Answer 12

^example

Answer 13

(x-1)^2(x+3)^4(x-2)^2 ???

Answer 14

No. See how it says -3 of multiplicity 2? The multiplicity of 2 only applies to the -3. See how it's repeated?

Answer 15

Why does it only apply to -3?

Answer 16

THat's just how the term works. ee how there's a comma? That separates it.

Answer 17

1, 2, and -3 of multiplicity 2 is the same as 1, 2, -3, and -3.

Answer 18

get it now? :)

Answer 19

@lgbasallote no :'(

Answer 20

which part dont you get?

Answer 21

Okay when you did

the roots are 1, 2, and -3 of multiplicity 2.
x = 1
x = 2
x = -3
x = -3

the factors would be (x-1)(x-2)(x+3)(x+3)..to find the polynomial multiply those factors

it's only -3 of multiplicity 2 and not all of multiplicity 2...

Answer 22

Oh... nvm wrong interpretation of wording... Okay, I get, thanks so much for your help everyone!

Answer 23

haha you're welcome :)