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Q1. Determine the x-intercepts of the equation y = x^2 - 4.
Solution:
Set y = 0: x^2 - 4 = 0. Factoring gives (x - 2)(x + 2) = 0. Thus, x = 2 and x = -2.
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Q2. Find the roots of the polynomial equation x^2 + 5x + 6 = 0.
Solution:
Factoring gives (x + 2)(x + 3) = 0. Thus, the roots are x = -2 and x = -3.
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Q3. Find the roots of the equation 4x^2 - 12x + 9 = 0.
Solution:
Factoring gives (2x - 3)(2x - 3) = 0. Thus, x = 3.
