1. Anna made an error in determining the polynomial equation of smallest degree whose roots are , and 2.
1 answer:
The equation based on the information given will be 2x⁴ + 9x³ - x⁴ - 36x - 16 = 0
<h3>How to illustrate the error?</h3>It should be noted that the information is simply to compute the value properly. This will go thus:
(x + 4)(x + 2)(2x + 1)(x - 2) = 0.
She multiplied (x + 2)(x - 2) correctly and got x² - 4.
She then made a mistake in multiplying (x + 4)(2x ,+ 1).
Therefore, the second step should be (x² - 4)(2x² + 9x + 4).
The next step will be:
2x⁴ + 9x³ + 4x² - 8x⁴ - 36x - 16 = 0
Therefore, the equation based on the information given will be 2x⁴ + 9x³ - x⁴ - 36x - 16 = 0
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