Answer:
Explanation:
To perform long division or synthetic division for the polynomial division
3
�
4
−
12
+
5
3x
−12x+5 by
1
x+1, we'll use long division in this explanation. The process is similar for both methods.
3x^3 - 3x^2 + 3x - 6
_______________________
x + 1 | 3x^4 + 0x^3 - 12x^2 + 5x + 0
- (3x^4 + 3x^3)
- 3x^3 - 12x^2
+ 3x^3 + 3x^2
- 9x^2 + 5x
+ 9x^2 + 9x
- 4x + 5
- 4x - 4
9
The result of the division is:
2
6
−3x
+3x−6+
x+1
So, the quotient is
+3x−6 and the remainder is
9.
Divide P(x) = 3x^4 + 5x^3 - 7x^2 + 2x + 2 by g(x) = x^2 + 3x + 1 and find the quotient and remainder
thank u
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
Explanation:
To perform long division or synthetic division for the polynomial division
3
�
4
−
12
�
+
5
3x
4
−12x+5 by
�
+
1
x+1, we'll use long division in this explanation. The process is similar for both methods.
3x^3 - 3x^2 + 3x - 6
_______________________
x + 1 | 3x^4 + 0x^3 - 12x^2 + 5x + 0
- (3x^4 + 3x^3)
_______________________
- 3x^3 - 12x^2
+ 3x^3 + 3x^2
_______________________
- 9x^2 + 5x
+ 9x^2 + 9x
_______________________
- 4x + 5
- 4x - 4
_______________________
9
The result of the division is:
3
�
3
−
3
�
2
+
3
�
−
6
+
9
�
+
1
3x
3
−3x
2
+3x−6+
x+1
9
So, the quotient is
3
�
3
−
3
�
2
+
3
�
−
6
3x
3
−3x
2
+3x−6 and the remainder is
9
9.
Divide P(x) = 3x^4 + 5x^3 - 7x^2 + 2x + 2 by g(x) = x^2 + 3x + 1 and find the quotient and remainder
thank u