. Check whether polynomial x-1 is a factor of the polynomial x³-8x² +19x-12. Verify by division algorithm.
Answers
Answered by
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.
Hope it helps
Please mark as brainliest
Similar questions