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If a polynomial f(x) = x^2 - 4, what are its roots?
If a polynomial f(x) = x^2 - 4, what are its roots?
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Practice Questions
1 question
Q1
If a polynomial f(x) = x^2 - 4, what are its roots?
-2, 2
0, 4
1, -1
2, 2
Show Solution
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Setting f(x) = 0 gives x^2 - 4 = 0, so x = ±2.
Questions & Step-by-step Solutions
1 item
Q
Q: If a polynomial f(x) = x^2 - 4, what are its roots?
Solution:
Setting f(x) = 0 gives x^2 - 4 = 0, so x = ±2.
Steps: 6
Show Steps
Step 1: Start with the polynomial f(x) = x^2 - 4.
Step 2: To find the roots, set f(x) equal to 0: x^2 - 4 = 0.
Step 3: Rearrange the equation to isolate x^2: x^2 = 4.
Step 4: Take the square root of both sides: x = ±√4.
Step 5: Calculate the square root: x = ±2.
Step 6: The roots of the polynomial are x = 2 and x = -2.
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