Question

Solve the polynomial equation by factoring and then using the zero product principle.
3x4 - 300x2 = 0

Answer 1

A) {-10, 0, 10}
B) {-10, 10}
C) {0}
D) \[-10\sqrt{3},0,10\sqrt{3}\]

Answer 2

First you must factor out what you can. So in this case you can factor out a 3x^2. What do you get when you do that?

Answer 3

9x

Answer 4

oh thats suppose to be 3x^4

Answer 5

Yeah so factor out 3x^2 from 3x^4-300x^2=0

You should get 3x^2(x^2-100)=0

Answer 6

Now if you have a times b=0 or ab=0 then either a=0 or b=0 or they both = 0

Now you can set
3x^2=0
and
(x^2-100)=0

and solve for x

Answer 7

how do i do that?

Answer 8

Well if 3x^2=0,

then x has to equal 0 for one of the solutions.

Then for the second equation

x^2-100=0

use algebra to solve for x. Add 100 to both sides and then take the square root of both sides. Remember when you take a square root you will get a positive and negative answer.

Answer 9

so for x=-10

Answer 10

and 3x^2=0 = 0

Answer 11

x is going to equal 10 and -10 for x^2-100=0
and x is equal to 0 for 3x^2=0

Answer 12

ok thank you the answer is a?

Answer 13

yes