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01-09-2021
Mathematics

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Factor f(x) = x2 + 3x − 4.

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mhanifa mhanifa

01-09-2021

Answer:

(x - 1)(x + 4)

Step-by-step explanation:

Find zero's of function:

x² + 3x - 4 = 0
x = (-3 ± √(3² + 4*4))/2
x = (-3 ± √25)/2
x₁ = (-3 + 5)/2 = 1
x₂ = (-3 - 5)/2 = -4

The factors are:

x² + 3x - 4 = (x - 1)(x + 4)

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