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Home » To find the x-intercept, set \( y = 0 \): - Groen Casting

To find the x-intercept, set \( y = 0 \): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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2p + q = 2 \quad ext{(ii)}
+ q = 3 \Rightarrow q = 4
Now verify with (3):
h(3) = 27 + 3(-1) + 4 = 27 - 3 + 4 = 28
e 24
Contradiction! So our assumption that \( h(x) = x^3 + px + q \) (missi...
Wait â perhaps \( h(x) = x^3 + px + q \), but we must use all three...
But let's suppose the model is \( h(x) = ax^3 + px + q \), as cubic wi...
h(1) = a(1)^3 + p(1) + q = a + p + q = 4 \quad ext{(1)}
h(2) = 8a + 2p + q = 10 \quad ext{(2)}

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Contradiction! So our assumption that \( h(x) = x^3 + px + q \) (missi...
Wait â perhaps \( h(x) = x^3 + px + q \), but we must use all three...
But let's suppose the model is \( h(x) = ax^3 + px + q \), as cubic wi...
h(1) = a(1)^3 + p(1) + q = a + p + q = 4 \quad ext{(1)}
h(2) = 8a + 2p + q = 10 \quad ext{(2)}
h(3) = 27a + 3p + q = 24 \quad ext{(3)}
Now subtract (a) from (b):
Plug into (a):
7\left(rac{2}{3}
ight) + p = 6 \Rightarrow rac{14}{3} + p = 6 \Rightarrow p = 6 - rac...

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