Divide x2 4y2 z2 – 4xy – 2xz 4yz by x – 2y – z and find the quotient and remainder.
Answers
Answer:
Quotient = x - 2y - z
Remainder = 0
Step-by-step explanation:
Assuming missing signs
Divide x² + 4y² + z² – 4xy – 2xz + 4yz by x – 2y – z
x - 2y - z
________________________
x – 2y – z _|x² + 4y² + z² – 4xy – 2xz + 4yz |_
x² -2xy - xz
_________________________
4y² + z² – 2xy – xz + 4yz
4y² -2xy +2yz
_____________________
z² – xz + 2yz
z² -xz + 2yz
___________________
0
____________________
Quotient = x - 2y - z
Remainder = 0
x² + 4y² + z² – 4xy – 2xz + 4yz = (x - 2y - z)(x - 2y - z)
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