How many x intercepts appear on the graph of this polynomial function? f(x)=x^4-5x^2 1 x intercept 2 x intercepts 3 x intercepts

Question

Hatshy [7]

3 years ago

12

How many x intercepts appear on the graph of this polynomial function? f(x)=x^4-5x^2 1 x intercept 2 x intercepts 3 x intercepts

4 x intercepts

Mathematics

2 answers:

saveliy_v [14] · Answer 1 · 2022-06-05T12:38:06+03:00

saveliy_v [14]3 years ago

8 0

Answer:

3

Step-by-step explanation:

its is 3

Bumek [7] · Answer 2 · 2022-06-05T11:37:39+03:00

You can find the number of x intercepts by setting f(x) equal to zero giving you 0=x^4-5x^2. You can factor out an x^2 and divide on both sides (when you divide 0 by anything it is still zero so the x^2 disappears), and you are left with 0=x^2-5, which you can solve easily giving you x=+/- sqrt(5). However, the original equation also has an x intercept at (0,0) which you can see by plugging 0 in for x. So the grand total of x intercepts is 3!