Graphing problem

  • Thread starter rachael
  • Start date
  • #1
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Sketch the graph, labelling the x-intercepts with exact values

how do i work this equation out?

y=x^4 - 3x^2 + 2
 

Answers and Replies

  • #2
338
11
rachael said:
Sketch the graph, labelling the x-intercepts with exact values

how do i work this equation out?

y=x^4 - 3x^2 + 2

This equation is known as a "biquadratic." It factors. If it helps, set a=x^2 and take a look at it again.

-Dan
 
  • #3
55
0
thank you
so the new equation would be
a^2 - 3a + 2
then use the rule 'completing the square'
 
  • #4
479
2
You could factor it using synthetic division. Once you find its factors, you can plot the points, test for sign changes, and sketch it as usual.
 

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