Solving cubic equation 4x^3-8x^2 -11x+15 = 0 using synthetic division method

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In this video I have shown how you can solve a cubic equation using synthetic division and also how you can factorise a quadratic equation and how to check your answer
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How would I do this using the Newton Raphson Method?

kindnessark
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My teacher doesn't give us the number you use in the division process. He didn't give us the one that you used. We have to figure out what the outer number is somehow. But I don't understand how to get it.

stylecashh