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# I need help with these pls

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1) Find the remainder when g(x) = 5x^9 - 4x^2 +2 is divided by 5x-10.

2) Find the remainder of f(x) divided by x^2 - 1 when f(x) = x^10 - 8x^8 - 8x^3 + 12x^2 -5x - 5.

3) Suppose g(x) is a polynomial of degree five for which g(1) = 2, g(2) = 3, g(3) = 4, g(4) = 5, g(5) = 6, and g(6) = -113. Find g(0).

4) Find the remainder when f(x) = 6x^3 - 29x + 12 is divided by x-6.

Not very good at these types of problems ;).

Jan 3, 2021

#1
+117546
+1

The answer to (3)  is here  :

https://web2.0calc.com/questions/math-help_61676

Jan 3, 2021
#2
+117546
+1

1) Find the remainder when g(x) = 5x^9 - 4x^2 +2 is divided by 5x-10.

x^8   + 2x^7   + 4x^6 +  8x^5 + 16x^4 + 32x^3 + 64x^2  +  ( 636/5)x + 1272/5

5x   -10    [   5x^9   + 0 x^8  + 0x^7 + 0x^6 + 0x^5 + 0x^4 +  0x^3  - 4x^2  + 0x +  2   ]

5x^9  -10x^8

_____________________

10x^8  +  0x^7

10x^8   -  20x^7

____________________

20x^7  + 0x^6

20x^7  - 40x^6

__________________

40x^6  - 0x^5

40x^6  - 80x^5

__________________

80x^5  + 0x^4

80x^5  - 160x^4

__________________

160x^4 + 0 x^3

160x^4  - 320x^3

_________________

320x^3 - 4x^2

320x^3  - 640x^2

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636x^2 + 0x

636x^2  - 1272x

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1272x   +  2

1272x  - 2544

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2546  =  remainder

Jan 3, 2021
#3
+117546
+1

4) Find the remainder when f(x) = 6x^3 - 29x + 12 is divided by x-6

6x^2     + 36x    +   187

x - 6  [  6x^3   +  0 x^2    -   29x    +   12   ]

6x^3    - 36x^2

__________________

36x^2   -  29x

36x^2 -  216x

__________________

187 x  +  12

187 x  -1122

_____________

1134  = remainder

Jan 3, 2021