Question

X^4+px^3+qx^2+rx is exactly divisible by (x-1),(x-2)(x-3) find p and q

Answer 1

Answer:

1. The polynomial x4 + px3 + qx2 + rx + 6 is exactly divisible by each of (x - 1), (x-2) and (x-3). Find the values of P, q and r.

2. Consider the polynomial P (z) =z5 - 10z2 + 15z-6, z \epsilon \mathbb{C}. Write down the sum and the product of the roots of P (z) = 0.

3. Show that (z -1) is a factor of P (z).

Answer 2

Answer:

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