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If x = 1 is a zero of the polynomial x3 – 7x + 6, find the other two zeroes.

User Pooya
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1 Answer

2 votes

Answer:

x = - 3, x = 2

Explanation:

Since x = 1 is a zero then (x - 1) is a factor of the polynomial

dividing x³ - 7x + 6 ÷ (x - 1)

= (x - 1)(x² + x - 6)

= (x - 1)(x + 3)(x - 2)

equating (x + 3)(x - 2) = 0 gives the other zeros

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2


User Wyu
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