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Write the quadratic ecuation whose roots are -2 and 3
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Write the quadratic ecuation whose roots are -2 and 3

User Ayobami Opeyemi
by
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1 Answer

5 votes

Answer:

x² - x - 6 = 0

Explanation:

Given that the roots are x = - 2 and x = 3, then the factors are

(x - (- 2)) and (x - 3), that is (x + 2) and (x - 3)

The equation is the product of the factors

(x + 2)(x - 3) = 0 ← expand factors using FOIL

x² - x - 6 = 0

User Ikbal
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4.1k points
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