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The zeros of the polynomial x ²- 3x-m(m+3) are |
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Answer» ong>Answer: By ADDING and subtracting mx, we GET f(X) = x2 – mx – 3x + mx – m (m + 3) = x[x – (m + 3)] + m[x – (m + 3)] = [x – (m + 3)] (x + m) f(x) = 0 ⇒ [x – (m + 3)] (x + m) = 0 ⇒ [x – (m + 3)] = 0 or (x + m) = 0 ⇒ x = m + 3 or x = –m So, the zeroes of f(x) are –m and +3. |
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