If x³-3x²-2x+6 is divided by x²-2 the quotient will be *
Answers
Answer:
The quotient will be x-3.
Step-by-step explanation:
To divide a polynomial-
1. Arrange the terms of divisor and dividend in descending order to make the calculation easy.
2. Now, we divide the highest degree term of the given polynomial with a given dividend,[In this case, x³.] with the highest degree of the one in the divisor.
Repeating the same division process of subtracting gained products as we learned in earlier classes proceeds here too.
2. Now, we have obtained a new dividend, which is -3x² + 6. Directly, the same way how we did before - we repeat the same procedure with the new dividend and the given divisor. Which gives us- remainder as zero. And quotient as x-3.
(Process has been attached with attachment, refer to them.)
Quotient = x - 3
remainder = 0
See the attachment for full process of division.
hope it helps.