If a, ß are the zeroes of the polynomial x² - 25, then aß(a + b) is
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Correct Question:
- If a, ß are the zeroes of the polynomial x² - x - 25, then find aß(a + b).
Given:
- a, ß are the zeroes of the polynomial x² - x - 25.
To find:
- aß(a + b)
Step-by-step explanation:
Given polynomial,
x² - x - 25
a = 1
b = - 1
c = - 25
We know that a, ß are the zeroes of the polynomial x² - 25, so
- aß = - b/a
- aß = - (-1)/1
- aß = 1
Finally,
- aß(a + b) = 1( 1 - 1 )
- aß(a + b) = 1 × 0
- aß(a + b) = 0
Therefore,
aß(a + b) = 0
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