Question

. Check whether polynomial x-1 is a factor of the polynomial x³-8x² +19x-12. Verify by division algorithm.​

Answer 1

Answer:

YES!! x-1 is a factor of the polynomial x³-8x² +19x-12.

Step-by-step explanation:

From division algorithm,

if we must divide x - m in some polynomial P(x), then we must substitute and check whether P(m) is 0 or not.

If P(x) = 0, then x - m is a factor. if not then it is not a factor

Now, substituting 1 in P(x) = x³-8x² +19x-12.

=> P(1) = 1 - 8 + 19 -12 = 20 - 20 = 0

Hence, P(1) = 0

x - 1 is a factor of the polynomial x³-8x² +19x-12

And Hence verified!! with division algorithm.​

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