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Home / The function can be expressed in factored form based on the roots:

The function can be expressed in factored form based on the roots:

February 22, 2026

The function can be expressed in factored form based on the roots:

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\theta_2 = \sin^{-1}(0.3333) \approx 19.47^\circ
#### 19.47
The function \( f(x) = ax^2 + bx + c \) has roots at \( x = 2 \) and \( x = -3 \). If \( f(1) = 6 \), find the value of \( a \).
f(x) = a(x - 2)(x + 3)
Expand the expression:
f(x) = a(x^2 + 3x - 2x - 6) = a(x^2 + x - 6)

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